Calculate S3, S4 and S5 and then find the sum of the following telescoping series. S = - Σ( 41-4₂) n+ n+2 n = 1 S3 = S4 S5 = S = = Tutorial

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A: topic- limits and continuity

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A: This is a graph of piece wise function

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A: We want to find the domain.

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A: To use trigonometric substitution to evaluate the integral. ∫x38+x2dx

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Q: 2. Find the limit algebraically by factoring the expression first. lim x-10

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A: Solution:∫π2πsin42x1-sin2x32dx∫π2π24sin4xcos4xcos2x32dx∫π2π24sin4xcos4xcosx3dx∫π2π24sin4xcos4x-cosx3…

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A: According to bartleby guidelines, we are supposed to do only first 3 subparts. If you want more to…

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A: This question can be solved using the concept of point of inflection.

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A: Improper integral:- An improper integral is a definite integral that has either or both limits…

Q: Find dx О А. О в. 0 с. 16 X * - *$*). - X -20%√/x 16 4 X x5 55/4 3 5 16 OD. 3 х

A: Derivative  of [4/x4 -4 5sqrt(x)].

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A: Given :fx,y=3xy2+4x2+y2-16

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Q: The domain of the function f(x, y) = 3xy 2+√4x2+y2-16 is:

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A: We need to find here limit of our function. We can find value of limit by first rationalizing the…

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Q: Find the derivative of the following function given

A: Our Aim is to find the derivative of the functions given below:-y=sec2 (x)-tan2 (x)  -(i)

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A: use the property of definite integral.

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A: we will solve integration by substitution.

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