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Show Mobile Notice Show All Notes Hide All Notes Mobile Notice You appear to be on a device with a narrow screen width (i.e. you are probably on a mobile phone). Due to the nature of the mathematics on this site it is best views in landscape mode. If your device is not in landscape mode many of the equations will run off the side of your device (should be able to scroll to see them) and some of the menu items will be cut off due to the narrow screen width. For problems 1 – 9 evaluate the limit, if it exists. (mathop lim limits_x to 2 left( 8 - 3x + 12x^2 right)) Solution (displaystyle mathop lim limits_t to , - 3 frac6 + 4tt^2 + 1) Solution (displaystyle mathop lim limits_x to , - 5 fracx^2 - 25x^2 + 2x - 15) Solution (displaystyle mathop lim limits_z to 8 frac2z^2 - 17z + 88 - z) Solution (displaystyle mathop lim limits_y to 7 fracy^2 - 4y - 213y^2 - 17y - 28) Solution (displaystyle mathop lim limits_h to 0 fracleft( 6 + h right)^2 - 36h) Solution (displaystyle mathop lim limits_z to 4 fracsqrt z - 2z - 4) Solution (displaystyle mathop lim limits_x to , - 3 fracsqrt 2x + 22 - 4x + 3) Solution (displaystyle mathop lim limits_x to 0 fracx3 - sqrt x + 9 ) Solution Given the function fleft( x right) = left beginarrayrc7 - 4x&x < 1x^2 + 2&x ge 1endarray right. Evaluate the following limits, if they exist. (mathop lim limits_x to , - 6 fleft( x right)) (mathop lim limits_x to 1 fleft( x right)) Solution Given hleft( z right) = left beginarrayrc6z&z le - 41 - 9z&z > - 4endarray right. Evaluate the following limits, if they exist. (mathop lim limits_z to 7 hleft( z right)) (mathop lim limits_z to - 4 hleft( z right)) Solution For problems 12 & 13 evaluate the limit, if it exists. (mathop lim limits_x to 5 left( 10 + left| x - 5 right| right)) Solution (displaystyle mathop lim limits_t to , - 1 fract + 1left| t + 1 right|) Solution Given that (7x le fleft( x right) le 3x^2 + 2) for all x determine the value of (mathop lim limits_x to 2 fleft( x right)). Solution Use the Squeeze Theorem to determine the value of (displaystyle mathop lim limits_x to 0 x^4sin left( fracpi x right)). Solution This set of worksheets will test your mastery of Calculus 1!Use the worksheets with the Calculus 1 Limits Lessons.Every worksheet has a step-by-step solution.These Worksheets are Available for DownloadDownload Price: $24.99 Worksheet 1: Evaluating Simple Limits with Substitution - Part 1Worksheet 2: Evaluating Simple Limits with Substitution - Part 2Worksheet 3: Evaluating Limits by Factoring - Part 1Worksheet 4: Evaluating Limits by Factoring - Part 2Worksheet 5: Limits Involving Trig FunctionsWorksheet 6: Tangent Lines, Velocity, and LimitsWorksheet 7: Formal Definition of a LimitWorksheet 8: Limit LawsWorksheet 9: Using the Limit LawsWorksheet 10: The Squeezing TheoremWorksheet 11: Left Hand and Right Hand Limits - Part 1Worksheet 12: Left Hand and Right Hand Limits - Part 2Worksheet 13: Continuity Download Worksheet 1 Here View Worksheet #1 Below: DescriptionThese worksheets are to be used along with the Calculus 1 Limits video lessons. Watch the video lesson to learn the concept, then work these worksheets to test skills. Every worksheet consists of problems that directly follow from what was learned in the video lessons. The worksheets can be used as a test of mastery before moving on to subsequent video lessons in the series.Every problem in the worksheets comes with a fully worked step-by-step written solution and answer key.
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