👉 🔥 CLICK HERE! 🔥 👈

Study the following functions and determine if they are continuous. If not, state where the discontinuities exist and what type they are: 1 2 3 4 5 6 The best Maths tutors availableExercise 2 Determine if the following function is continuous at x = 0. Exercise 3 Determine if the following function is continuous on (0,3). If not, state where the discontinuities exist and what type they are: Exercise 4 Are the following functions continuous at x = 0? Exercise 5 Given the function: 1 Prove that f(x) is not continuous at x = 5. 2Is there a continuous function which coincides with f(x) for all values with the exception x = 5? If so, determine the function. Exercise 6 Determine if the following function is continuous. If not, state where the discontinuities exist or why the function is not continuous: Exercise 7 Determine if the following function is continuous at x = 0. Exercise 8 Determine the value of a to make the following function continuous. Exercise 9 The function defined by: is continuous on 0, ∞). Determine the value of a that would make this statement true. Study the following functions and determine if they are continuous. If not, state where the discontinuities exist: 1 The function is continuous at all points of its domain. D = R − −2,2 The function has two points of discontinuity at x = −2 and x = 2. 2 The function is continuous at R with the exception of the values that annul the denominator. If this is equal to zero and the equation is solved, the discontinuity points will be obtained. x = −3; and by solving the quadratic equation: and are also obtained The function has three points of discontinuity at , and . 3 The function is continuous. 4 The function has a jump discontinuity at x = 0 . 5 The function has a jump discontinuity at x = 1 . 6 The function has a jump discontinuity at x = 12 . Solution of exercise 2 Determine if the following function is continuous at x = 0. At x = 0, there is an essential discontinuity. Solution of exercise 3 Determine if the following function is continuous on (0,3). If not, state where the discontinuities exist and what type they are: At x = 1, there is a jump discontinuity. At x = 2, there is a jump discontinuity. Solution of exercise 4 Are the following functions continuous at x = 0? The function is continuous at x = 0. Solution of exercise 5 Given the function: 1 Prove that f(x) is not continuous at x = 5. Solve the indeterminate form. f (x) is not continuous at x = 5 because: 2 Is there a continuous function which coincides with f(x) for all values with the exception x = 5? If so, determine the function. If the function would be continuous, then the function is redefined: Solution of exercise 6 Determine if the following function is continuous. If not, state where the discontinuities exist or why the function is not continuous: The function f(x) is continuous for x ≠ 0. Therefore, study the continuity at x = 0. The function is not continuous at x = 0, because it is defined at that point. Solution of exercise 7 Determine if the following function is continuous at x = 0: The function is bounded by , , therefore takes place: , since any number multiplied by zero gives zero. As f(0) = 0. The function is continuous. Solution of exercise 8 Determine the value of a to make the following function continuous: Solution of exercise 9 The function defined by: is continuous on 0, ∞). Determine the value of a that would make this statement true. The platform that connects tutors and students Here is a graphic preview for all of the Limits and Continuity Worksheets. You can select different variables to customize these Limits and Continuity Worksheets for your needs. The Limits and Continuity Worksheets are randomly created and will never repeat so you have an endless supply of quality Limits and Continuity Worksheets to use in the classroom or at home. We have evaluating limits, determining continuity, jump discontinuity, and trig limits worksheets.Our Limits and Continuity Worksheets are free to download, easy to use, and very flexible.These Limits and Continuity Worksheets are a good resource for students in high school.Click here for a Detailed Description of all the Limits and Continuity Worksheets. Click the image to be taken to that Limits and Continuity Worksheets. Determining Continuity WorksheetsThis Calculus - Limits and Continuity Worksheet will produce problems that involve determining the intervals upon which functions have continuity.Determining Continuity with Graphs WorksheetsThis Calculus - Limits and Continuity Worksheet will produce problems that involve determining the intervals upon which functions have continuity, using graphs.Evaluating Limits at Infinity WorksheetsThis Calculus - Limits and Continuity Worksheet will produce problems that involve evaluating limits at infinity.Evaluating Limits at Infinity with Graphs WorksheetsThis Calculus - Limits and Continuity Worksheet will produce problems that involve involve evaluating limits at infinity, using graphs.Evaluating Limits at Discontinuities of Trig Functions WorksheetsThis Calculus - Limits and Continuity Worksheet will produce problems that involve evaluating limits of trigonometric functions at removable discontinuities.Limits at Essential Discontinuities WorksheetsThis Calculus - Limits and Continuity Worksheet will produce problems that involve evaluating limits at essential discontinuities.Limits at Essential Discontinuities with Graphs WorksheetsThis Calculus - Limits and Continuity Worksheet will produce problems that involve evaluating limits at essential discontinuities, using graphs.Direct Limit Evaluation WorksheetsThis Calculus - Limits and Continuity Worksheet will produce problems that involve the evaluation of a direct, simple limit.Evaluating Limits at Jump Discontinuities WorksheetsThis Calculus - Limits and Continuity Worksheet will produce problems that involve evaluating limits at jump discontinuities.Evaluating Limits at Jump Discontinuities with Graphs WorksheetsThis Calculus - Limits and Continuity Worksheet will produce problems that involve evaluating limits at jump discontinuities with graphs.

Items