Problem 1. In each of the following cases, determine whether the limit exists as a finite number, and say its value if it is defined. If the limit does not exist as a finite number, determine whether the limit is positive or negative infinity. If the limit does not exist as a finite number or as positive/negative infinity, explain why. (a) VI, I>0 -1, I<0 lim f(x), where f(r) = Solution to (a) lim f(z) = lim f(1) = lim f(x) = o. (b) I+ | 1|| lim Solution to (b) 2x lim 2, Z0+ I lim 0. z+0- I Since the one-sided limits exist but are not equal, the limit does not exist . (c) lim Solution to (c) = lim =1. I+0+ I lim (-1) = -1. lim lim Since lim # lim

Q: Find each limit in Problems 37-60. Note that L'Hôpital 's rule does not apply to every problem, and…

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A: By algebra of limits , we have the following result

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A: Consider the provided question, (a) Given that, limx,y→0,0x3+y3x2+y2Put y=mxlimx,y→0,0x3+y3x2+y2…

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A: Given, The values of a = -2,-1, 0, 1, 2.

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A: First we find left hand limit aland right hand limit at x=3. For complete solution see below steps.

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A: Given:  The graph of function,

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A: To find the limit

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Q: B Find each limit in Problems 37-60. Note that L'Hôpital 's rule does not apply to every problem,…

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A: The solution are next step

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A: Given,

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A: L=limx→2ln(x-1)^2ln(x-1)

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Q: 22) In Problems 22 through 26, given a piecewise function [(x2+3x-4) (x-1) if x 1 (2+m)x A) 4 B) 5…

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A: Topic = Limits

Q: In Problems 22 through 26, given a piecewise function [(x2+3x-4) (x-1) if x1 B) 5 C) 6 D) 7

A: NOTE: Refresh your page if you can't see any equations. . find the left-hand side limit of the…

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A: topic - limits

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Q: Problem 4.7 Find the limits (а) lim 2x2–7 5x2+x-3 (b) lim (V9x² + x – 3x) (c) lim x sin

A: Please refer the attached image for complete solution.

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A: Since you have posted a question with multiple sub-parts, we will solve only first five sub-parts…