Home
Class 12
MATHS
In order that the function f(x) = (x+1)^...

In order that the function `f(x) = (x+1)^(cot x)` is continuous at x=0 , the value of f(0) must be defined as :

A

`1/e`

B

`1/e^(2)`

C

e

D

`1/e^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MHT-CET 2019 QUESTION PAPER

    TARGET PUBLICATION|Exercise Differentiation|3 Videos

  • MHT-CET 2019 QUESTION PAPER

    TARGET PUBLICATION|Exercise Application of Derivatives|3 Videos

  • MHT-CET 2019 QUESTION PAPER

    TARGET PUBLICATION|Exercise Linear Programming|1 Videos

  • MATRICES

    TARGET PUBLICATION|Exercise EVALUATION TEST|13 Videos

  • MODEL QUESTION PAPER-I

    TARGET PUBLICATION|Exercise MCQs|48 Videos

Similar Questions

Explore conceptually related problems

In order that the function f(x)=(x+1)^(cotx) is continuous at x = 0, the value of f(0) must be defined as

In order that the function f(x)=(x+1)^(cotx) is continuous at x = 0, f(0) must be defined as

In order that the function f(x) = (x+1)^(1/x) is continuous at x = 0, f(0) must be defined as

If f(x) is continuous at x=0, then f(0) is defined as where

If the function f(x) = (x(e^(sinx) -1))/( 1 - cos x ) is continuous at x =0 then f(0)=

The function f(x)=((3^(x)-1)^(2))/(sin x*ln(1+x)),x!=0, is continuous at x=0, Then the value of f(0) is

For the function f(x)=(log_(e)(1+x)+log_(e)(1-x))/(x) to be continuous at x = 0, the value of f(0) is