as x 1 Let #E(³ (R), such that ‡ (x) = 2(x-1) + 3 (x-1)³ + 0((x-1)³) It's true that A. (2) = 5 B. ¹¹ (1) = 3 c. & is an infinitesimal of order 3 D. & is strictly increasing in a neighborhood of x=1 Correct answer D

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A: The limit of a function (expression ) is a value of that function (expression ) approaches as the…

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A: We have to find the correct choice.

Q: x²-4x+3 1. Compute limx→3 x-3 Oo 01 02 03 ONone of these

A:

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A: The given expression is limx→∞16x24x. We have to obtain the limit of the given expression.

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A:

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A:

Q: 2. Suppose that f(x) = ((.x² + x·5).5 +.r.5).5 when x ≥ 0. Find df(x)/dx. •5 (@ï¥2³ )² +x²)+…

A: The answer is given in step 2

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A: g) limx→∞ln6x2+5-ln3x2-6h) limx→-∞e2x-e-2xe2x+e-2x

Q: (2) for 1t 1-1 + what Valuer of x doesi Corverge

A: Using the convergence of geometric series.

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A: Given that X1,X2, .....X128 ~G(2,4) then using CLT we have to find P(7&lt;x̄ &lt;9)

Q: (c) (i) Express the decimal 9.999 in the form where a, b € Z.

A:

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A: The limit of the function f(x) at a point  a is the value of function when the x approaches to a.…

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A: we will solve this using L'Hospitals rule.

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A: Given,  limx→∞x2-2x-8x-4  We have to find the form of the limit.

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A:

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A: We have to find the limit.

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A:

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A: Recall:  To find vertical asymptote, set the denominator equal to zero and solve for x. Given,…

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A: I am going to solve the given problem by using some simple calculus to get the required result.

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A:

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A: To find Which of the given is  not an asymptote of y.

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A: Given query is to find indicated limit.

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A: Given the power series

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A:

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A:

Q: xy

A: (1/4)(x²y² - 2) - (xy + 1/2)² = (1/4)(x²y² - 2) - (x²y² + xy + 1/4) = (-3/4)x²y² - xy - (3/4) Or you…

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A: Reflection is a transformation that has a mirror image about a line as a two-way mirror .