Home
Class 12
MATHS
Evaluate lim(xto0) (logcosx)/(x)...

Evaluate `lim_(xto0) (logcosx)/(x)`

A

0

B

`2//3`

C

`-1//4`

D

`3//2`

Text Solution

Verified by Experts

The correct Answer is:
0

`underset(xto0)lim(logcosx)/(x)=underset(xto0)lim(-tanx)/(1)=0`
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    CENGAGE ENGLISH|Exercise Exercises (Single Correct Answer Type)|76 Videos
  • LIMITS

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|24 Videos
  • LIMITS

    CENGAGE ENGLISH|Exercise EXERCISE 2.7|7 Videos
  • JEE 2019

    CENGAGE ENGLISH|Exercise Chapter 10|9 Videos
  • LINEAR COMBINATION OF VECTORS, DEPENDENT AND INDEPENDENT VECTORS

    CENGAGE ENGLISH|Exercise DPP 1.2|10 Videos

Similar Questions

Explore conceptually related problems

Evaluate: lim_(x->0)(logcosx)/x

Evaluate lim_(xto0) (cosx)^(cotx).

Evaluate lim_(xto0) (1-cos2x)/x^(2)

Evaluate lim_(xto0)(cosecx)^(x) .

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

Evaluate lim_(xto0) (1-cos(1-cosx))/(x^(4)).

Evaluate lim_(xto0) (1-cosmx)/(1-cosnx).

Evaluate lim_(xto0) sin(picos^(2)x)/(x^(2)).

Evaluate: lim_(xto0)(log(e^(x)-x))/(1-cosx)

Evaluate, lim_(xto0) (sin2x+3x)/(2x+tan3x) .