3x7/2 + 7x-1/2 - x!/2 4x (b) lim x→±∞ /x² +1 Calculate the limits (a) lim x2 – x1/2

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A: To evaluate the given limit. limx→+∞1x5+2x-333-3x8

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A: we have to calculate;  limx→12x2-2(3x+1)+2x-1

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A: limx→1x3-1x3+3x-4

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Q: b) Let f(x) = x²-1 2-1 ' √x-1 0 < x < 1 1<x<3 2-1 ' 5x+3, 3x Find lim, 1 f(x). 3x-7 c) Let f(x) =…

A: The b part of the question can be solved using the concept of limits.The c part of the question can…

Q: f²(x) x-2x³-f(x)* 2. Suppose that limf(x) = 5. Compute lim x-2

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

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Q: limx→∞ x2/e2x

A: limx→∞ x2/e2x

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A: Using given first principle of derivatives

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Q: x² + x - 2 24. f(x) %3D x + 2 lim f(x) (B) lim f(x) (C) lim f(x) (A) x -2"

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A: To find:- A function f such that limx→1fx=0 and limx→1 fxx-13=-∞

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Q: limx → 1 (x-2) / (x-1)2 ii.  limx → 1 (x2-1) / (x-1) iii. limx → 1  |x-1| / (x-1)

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Q: 5x – 1, {2x² – 3, x 3 -

A: Given: The function, fx=5x-1,       x&lt;32x2-3,      x≥3.