Match List-I with List-II For f to be continuous , f(0) is given by List-I Function f(x) List-II f(0) A. f(x)= log⁡ (1+4 x ) x I. ¼ B. f(x)= log 4+ x - log 4 x II. 1 C f(x)= x sin x III. 4 4 D. f(x)= 1- cos 3 x xSin 2 x IV. ¾ 3/4 Choose the correct answer from the options given below

A-III, B –I, C-II, D-IV Explanation: Solution: For continuity at , . A. So, . B. So, . C. So, . D. Using , we get . So and . Thus: So, . Final matching:

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CUET PG 2024 — Mathematics PYQ

CUET PG | Mathematics | 2024

Match List-I with List-II

For f to be continuous , f(0) is given by

List-I Function f(x)		List-II f(0)
A.	f(x)= $\frac{l o g ( 1 + 4 x )}{x}$	I.	¼
B.	f(x)= $\frac{l o g 4 + x ) - l o g 4}{x}$	II.	1
C	f(x)= $\frac{x}{s i n x}$	III.	4
D.	f(x)= $\frac{1 - c o s ^{3} x}{x s i n 2 x}$	IV.	3/4

Choose the correct answer from the options given below

Choose the correct answer: