Determine if the given function is continuous at -1. * x < -3 - 3

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A: In this question we have to find the radius of convergence and interval of convergence.

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Q: Evaluate each of the following integrals. 1. S cos5 x Vsin x dx 2. S sin* 3x dx

A: Let ,I=∫cos5xsinx3dx⇒I=∫cos2x2.cosxsinx3dxWe know that , cos2x=1-sin2(x)I=∫1-sin2x2.cosx.sinx3dxPut ...

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Q: 2. Σ--1)k , k%3D k+1

A: The given sequence is ∑k=0∞-1kkk+1

Q: In the following exercises, state whether each statement is true, or give an example to show that li...

A: Here, to state whether the given statement is true or false.

Q: en k%3D1 00

A: We will use Cauchy root test 

Q: Explain if the function is continuous or not for the given number a. if x>1 if x = 1 ,a=1 if x<1 f(x...

A: we have given function     we need to determine the continuity at a=1    

Q: Calculus Question

A: Perform integration

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A: Topic = Limits

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A: Given  ∫csc5x cot5x dx5csc5x3    

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A: Limit exists if, LHL = RHL Limit does not exist if, LHL≠RHL

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Q: Question Select your answer. On which interval(s) is ƒ(x) = 2 ln(x² +x – 20) continuous? (-00, –5) (...

A: Topic:- calculus  Note :- as per our guideline if more than one question uploaded than only first qu...

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A: Topic = Limits

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Q: Calculate the Taylor polynomials T(x) and T3(x) centered at a = 8 for f(x) = In(x + 1). T2(x) = (r-8...

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Q: х — 1 f(x) — {3х — 3 (-4х + 3 х 3

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Q: Find the directional derivative of the function at P in the direction of v. f(x,y,z) = x²+y²+z² P(1,...

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Q: Set up, but do not evaluate, an integral for the length of the curve. x = 8 sin(y), 0 sys. 2

A: Given query is to setup the integral for the length of the curve.