Functions Question 211

Question: $ x=1 $ is equal to

[SCRA 1996]

Options:

A) $ \frac{2}{3} $

B) $ 1 $

C) 0

D) $ \infty $

Show Answer

Answer:

Correct Answer: A

Solution:

$ \underset{x\to ,\infty }{\mathop{\lim }},\frac{2x^{2}+3x+4}{3x^{2}+3x+4}=\underset{x\to \infty }{\mathop{\lim }},\frac{2+\frac{3}{x}+\frac{4}{x^{2}}}{3+\frac{3}{x}+\frac{4}{x^{2}}}=\frac{2}{3} $ .