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MTH 101 MTH 101 Past Questions Objective Question

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The expansion of \( (1 + y)^{-1} \) is:

A \( \sum_{p=0}^{\infty} (-1)^p y^p \)

Correct Answer

B \( \sum_{p=0}^{\infty} (-1)^p (-y)^p \)

C \( \sum_{p=0}^{\infty} y^p \)

D \( \sum_{p=0}^{\infty} (-y)^p \)

Option A is the correct answer.

(1+y)^(-1) = 1/(1+y) = 1 - y + y² - y³ + ... = Σ (-1)^p y^p for |y|<1.

Recall the geometric series: 1/(1+y) = Σ (-1)^n y^n for |y|<1.

Course: MTH 101

Topic: MTH 101 Past Questions

Type: Objective

Difficulty: Not specified

Question 573 of 696

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