Definite integral of f(x) is the ... of ..., as ... tends to ... and the ... ...

Question

Definite integral of f(x) is the ... of ..., as ... tends to ... and the ... ...'s method ... s the value of f(x) using ... in a sequence of linear approximations. ... s of a Taylor Polynomial for f(x) of degree n are ... of f(x) up to ... -th order divided by .... For an infinitely differentiable function f(x). The derivative of the ... for f(x) is ... to the Taylor Polynomial of ... of f(x). A......series is equal to the......of the sequence of its....... An......convergent sequence could have negative and...... terms of......absolute values. The......of partial sums of a......series as r" can expressed by....... Multiple Choice(Why, Select all that apply), All differentiable functions can be approximated by ....? Euler's Method Taylor Polynomials Fourier Polynomials All of the above methods. The result of zeroing 500,000 terms of the sequence 2r would make it ....? Converge to zero. Diverge feel nothing. can not decide. The result of zeroing all but 500,000 terms of the sequence 2n would make it ....? Converge to zero. Diverge feel nothing. 2/4 can n degree t decide. The result of negating every other terms of the sequence ( -l)-n would make it ....? Converge to zero. Diverge Converge to -1. can not decide. The result of doubling the even indexed terms of the sequence 2"" would make it ....? Converge to zero. Diverge Converge to 2. can not decide. If for each n the can never diverge. is not a sequence. is a bounded sequence that may or may not converge. is not even a bounded sequence. Construct this; Construct a series Discuss the convergence of such series, with a full analysis of the partial sums. Construct a function f(x) such that;

Explanation / Answer

8)

a. Euler Method

b) Diverge

c) Diverge

d) converge to -1

e) can not decided

f) 0

g) it is bounded function it may or may not converge

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