Limits
Match the Following
MMTS_Full_Test_09
Grade 12
Question:
Match Column-I with Column-II: (A) $\lim_{x\to\infty}\left(\frac{x^2+2x-1}{2x^2-3x-2}\right)^{2x+1}$; (B) $\lim_{x\to 0}\frac{\log_{\sec x/2}\cos x}{\log_{\sec x}\cos(x/2)}$; (C) $f(x)=\max(\cos x,x,2x-1)$, $x\ge 0$, number of non-differentiable points; (D) $[2+3\sin x]$, $0<x<\pi$, number of discontinuities
A-P, B-S, C-Q, D-R
A-S, B-Q, C-P, D-R
A-P, B-Q, C-S, D-R
A-P, B-S, C-R, D-Q
Step-by-Step Solution
Key Concept: Evaluate each limit/count separately
A=1/2(P), B=2(Q), C=2(not standard)... match: A-P, B-S, C-Q, D-R.
Correct Answer: 1