Home
Class 12
MATHS
Statement - I: if lim(x to 0)((sinx)/(x)...

Statement - I: if `lim_(x to 0)((sinx)/(x)+f(x))` does not exist, then `lim_(x to 0)f(x)` does not exist.
Statement - II: `lim_( x to 0)(sinx)/(x)=1`

A

Statement -I is True , Statement -II is True , Statement -II is a correct explanation for Statement-I

B

Statement-I is True , Statement -II is True , Statement -II is no a correct explanation for Statement -I

C

Statement-I is True , Statement-II is false

D

Statement -I is False , Statement-II is true

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    CHHAYA PUBLICATION|Exercise EXAMPLE|38 Videos

  • LIMIT

    CHHAYA PUBLICATION|Exercise IIIustrative Examples|53 Videos

  • LIMIT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Comprehension Types)|5 Videos

  • LAWS OF INDICES

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|6 Videos

  • LINEAR DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination(E. Assertion-Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

lim_(x to oo) sinx/x = ?

Prove that: lim_(x to0)log(1+sinx)/(x)=1

Evaluate: lim_(x rarr 0) (e^(sinx)-1)/(x)

Evaluate: lim_(xto0)(sinx+cosx)^(1//x)

Prove that lim_(xrarr0)sqrt(1-cosx)/x does not exist

Evaluate lim_(xto0) (sinx-x)/(x^(3)).

Evaluate lim_(x to 0) (sinx+log(1-x))/(x^(2)).

If f(x)={{:((x-|x|)/(x)","xne0),(2", "x=0):}, show that lim_(xto0) f(x) does not exist.

The value of [lim_(x to 0)((sinx)/(x))^(sinx/(x-sinx))+lim_(x to 1)x^(1/(1-x))] is

Evaluate lim_(x to 0) (tan(sgn(x)))/(sgn(x)) if exists.