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Revision Quiz | Limits and Differentiation

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Question 1

is a given limiting function. Which of the following is correct

Question 2

If

, then the values of a and b are respectively

Question 3

$Description: E:\WBJEE\WBJEE-2010_Mathematics_files\image220.png$ is equal to

Question 4

is equal to

Question 5

f(x) is a non zero function where all the successive derivatives exist. Now given that f(0)=1 and f'(0)=1 Also f(x), f'(x) and f''(x) are in G.P. Find f''(9)

Question 6

If f (x) =

then at x = 0 the derivative f’ (x) is

Question 7

If x = secθ -cosθ and y =secⁿθ-cosⁿθ, then

is equal to

Question 8

If y = f(x² + 2) and f’ (3) = 5, then $Description: E:\KCET-1-Feb\KARNATAKA-PAPER-2015_files\image313.png$ at x = 1 is _____.

Question 9

If f(5) = 7 and f'(5) = 7, then $Description: E:\WBJEE\WBJEE-2010_Mathematics_files\image207.png$

Question 10

Statement–1 :
Statement–2 : .

Question 11

Question 12

is

Question 13

is:

Question 14

If y = (ax + b)ⁿ then for 1 ≤ k ≤ n d^ky/dx^k is

Question 15

If y=

find the value of

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Jul 21JEE & BITSAT

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