Functions Question 56

Question: The value of $ \underset{x\to \infty }{\mathop{\lim }},( \frac{x^{2}+bx+4}{x^{2}+ax+5} ) $ is

[MP PET 1993]

Options:

A) b/a

B) 1

C) 0

D) 4/5

Show Answer

Answer:

Correct Answer: B

Solution:

$ \underset{x\to \infty }{\mathop{\lim }}[ \frac{1+\frac{b}{x}+\frac{4}{x^{2}}}{1+\frac{a}{x}+\frac{5}{x^{2}}} ]=1. $