Home
Class 12
MATHS
Statement-1 : lim(x to 0) (1 - cos x)/(...

Statement-1 : `lim_(x to 0) (1 - cos x)/(x(2^(x) - 1)) = (1)/(2) log_(2) e`.
Statement : `lim_(x to 0) ("sin" x)/(x) = 1`, `lim_(x to 0) (a^(x) - 1)/(x) = log a, a gt 0`

A

Statement - 1 isTurue, Statement-2 is True, Statement-2 is a correct explanation for statement-1

B

Statement-1 is True, Statement-2 is True, Statement-2 is Not a correct explanation for statement-1

C

Statement-1 is True, Statement-2 is False

D

Statement -1 is False, Statement-2 is True

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Section - F|3 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Section - G|5 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Section - D|6 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

  • MATHEMATICAL REASONING

    AAKASH INSTITUTE|Exercise Assignment (SECTION-D) (Assertion-Reason Type Questions)|15 Videos

Similar Questions

Explore conceptually related problems

lim_(x rarr 0)(1-cos x)/(x log(1+x))

lim_(x rarr0)(1-cos x)/(x log(1+x))

lim_(x to 0) (log (1 + 2x))/(x) + lim_(x to 0) (x^(4) - 2^(4))/(x - 2) equals

lim_(x to 0)(ln(1+x))/(x^(2))+(x-1)/(x)=

lim_(x rarr0)(sin log(1+x))/(x) =1

lim_(x rarr0)(1-cos x)/(x log(1+x))=

lim_(x rarr0)(sin log(1-x))/(x)

lim_(x rarr0)(log(1+x))/(x)=1

lim_(x rarr0)(x cos x-log(1+x))/(x^(2))

Statement I: lim_(x rarr0)(x)/(sin b^(2)x)=4 then b=+-(1)/(2) Statement II: lim_(x rarr0)(sin x)/(x)=1