Use the following binomial series formula to obtain the MacLaurin series for ∞ (a) (1+z) k=0 (b) √ 1 + x = (1+x) = 1+mx + +. Enter first 4 terms only. m(m1) 2! + + m(m1) (mk+1) k! xk +.

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A: We have to find the points at which the function is the discontinuous.

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A: Solution of the problem as follows

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A: Here in first graph we had shaded the area under this function as given below in figure : So from…

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A: y dx+x3 y dy- x dy=0(y dx -x dy) +x3y dy =0(x dy-y dx)-x3y dy=0dividing by x2;(x dy-y dx)x2=xy dy…

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A: We have to find equation of tangent

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A: This question is based on application of integration.

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A: ∑n=1∞  n!22n!

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A: We can solve this as follows:

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A: Given that a differential equations and we solve this differential equation by using integrating…

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A: See the details solution in below

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A: Since the student has posted multiple questions and does not mention any specific question, so we…

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A: limit.

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A: To evaluate the values of given integrals.

Q: the

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A: The given function is  f(x)=x3 about x=-4.

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A: limx→1-log12(x+3)1-cosh(cos-1x)=limx→1- log2-1(x+3)1-cosh(cos-1x)since, limx→af(x). g(x)=limx→a f(x)…

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A: We can find the domain of the equation as below.

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A: We have to find the integral.

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Q: ● Let B(x) Let C(x) = = = **f(t)dt. Evaluate B(1). * f(t)dt. Evaluate C(9).

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