Home
Class 12
MATHS
The value of f(0) so that f(x)=(sin x)/(...

The value of f(0) so that `f(x)=(sin x)/(x)` is continuous at x=0 is

A

increasing in `(0,pi//2)`

B

decreasing in `(0,pi//2)`

C

stationary at `x=pi//2`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-1 (SPECIAL TYPE QUESTIONS)|14 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-2 (SPECIAL TYPE QUESTIONS)|11 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

The value of f(0) so that f(x)=(3x+4 tan x)/(x) is continuous at x=0 is

The value of f(0) so that f(x)=(1+x)^(5//x) is continuous at x=0 is

The value of f(0) so that f(x)=(3x+4 tan x)/(x) is continuous at x=3 is

The value of f(0) so that f(x)=(sqrt(1+x)-1)/(x) is continuous at x=0 is

Find the value of f(0) so that f(x) = (1 + x)^(1//5x) is continuous at x = 0 .

Find the value of f(0) so that f(x) = (1 + 5x)^(1//x) is continuous at x = 0 .

Find the value of f(0) so that f (x) = (1 + 2x)^(1//3x) is continuous at x = 0

The value of f(0) so that f(x) = (sqrt( 1 + x )-1)/(x) is continuous at x = 0 is

The value of f(2) so that f(x)=(2^(x+2)-16)/(4^(x)-16) is continuous at x=2 is