find: a) Lim x4-1 x2 b). Lim 10x-3 SinX

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A: Given : The limit is limt→0 sin2tt .

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A: According to question,Given limit,limx→0 1- cos x3x2

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A: Given: limx→0x2sin1x

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A: We have to find limit using l'Hospital Rule

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A: Please see the explanation below

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Q: Evaluate the limits algebraical 10x2 lim а. x0 sin25x

A: Using Limits of trigonometric functions we will find answer

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Q: The value of lim (trorozac) 2 (1² 1px (ozoz-ozoz) 6202 (17073— 170741) 7 is equal to

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A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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A: The objective is to evaluate the limit.

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Q: Which property of f(x) = x' allows us to conclude that lim x- 8?

A: f(x)=x3 is a continuous function. So, it is continuous at x=2 also.

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A: Given that,  -x2+6x-7≤fx≤2x-3 To determine limx→2fx. By the algebra of limits, If gx≤hx  then…

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A: I am attaching image so that you understand each and every step.

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