Functions Question 193
Question: $ \underset{x\to \infty }{\mathop{\lim }},\frac{(2x-3)(3x-4)}{(4x-5)(5x-6)}= $
[MP PET 1996]
Options:
A) 0
B) 1/10
C) 1/5
D) 3/10
Show Answer
Answer:
Correct Answer: D
Solution:
$ \underset{x\to \infty }{\mathop{\lim }},\frac{(2x-3)(3x-4)}{(4x-5)(5x-6)} $ $ =\underset{x\to \infty }{\mathop{\lim }},\frac{x^{2}( 2-\frac{3}{x} ),( 3-\frac{4}{x} )}{x^{2}( 4-\frac{5}{x} ),( 5-\frac{6}{x} )}=\frac{6}{20}=\frac{3}{10} $ .
BETA
