Question Detail

MTH 101 MTH 101 Past Questions Objective Question
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Question

Let x < 1. Using the binomial theorem, which represents (1 + x)^{-1}?
Options
A \(1 + x + x^2 + x^3 + \ldots\)
B \(1 - 2x + 3x^2 - 4x^3 + \ldots\)
C \(1 - x + x^2 - x^3 + \ldots\)
Correct Answer
D \(1 - x + 2x^2 - 3x^3 + \ldots\)
Correct Answer

Option C is the correct answer.

Detailed Explanation

(1+x)^{-1} = 1/(1+x) = 1 - x + x^2 - x^3 + ... for |x|<1.

Hint

This is the geometric series with ratio -x.

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 603 of 696
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