21-28 - Estimating Limits Graphically Use a graphing device to determine whether the limit exists. If the limit exists, estimate its value to two decimal places. x* + x + 3x - 5 21. lim 1- 2x2 - 5x + 3 22. lim 1--0 cos 5x - cos 4x x' + 6x? - 5x + 1 -23. lim In(sin'x) 24. lim 1-42 x - x - 8x + 12 2 26. lim sin - •25. lim cos 1-0 3| 27. lim 28. lim 3 x- 3 1-40 1 + e

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Q: applicable lim 13) Find the limit using L'Hopital's Rule if x²-4 x-2 X-2

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A: Here we solve the limit using L'Hospital Rule.

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A: As per our guideline if multiple questions are posted we are supposed to answer only the first one.…

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Q: 10-x-x² if x 5 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) =…

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Q: 5. Determine the value of a such that lim Va-x - V8+x exists. Then determine the value of the x-1…

A: To determine the value of a such that limx→1a-x-8+xx-1...(1) exists.

Q: lim- LIMIT VALUE: z²-16

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A: We find that,

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Q: 10. Find the limit using any technique. The limit of f(x) = 2x² - 3 as x approaches -3. 15 21 limit…

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Q: 6. Find the limit, if it exists. If the limit does not exist, explain why. tan 5x sin 6x (a) lim x-0…

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Q: 6. Find the limit, if it exists. If the limit does not exist, explain why. tan 5x sin 6x (a) lim 1-0…

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Q: 7. Find the limit, if it exists. If the limit does not exist, explain why. sin(2x - 6) sin(4x - 12)…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: x +3x-10 1. Find the limit (Do not use L'Hopital's Rule): lim x²-5x x-5

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Q: 4-x lim x→4 5- Vx2+9 a) Evaluate the limit

A: When we get indeterminate form , we use L'Hospital rule i.e. differentiating numerator and…