Home
Class 11
MATHS
If underset(x to 0)"Lt" (log(3+x)-log(3-...

If `underset(x to 0)"Lt" (log(3+x)-log(3-x))/x = k`, then k =

A

44256

B

44382

C

2/3

D

-1/3

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LIMIT, CONTINUITY AND DIFFERENTIABILITY

    PATHFINDER|Exercise QUESTION BANK|293 Videos

  • MATHEMATICAL REASONING

    PATHFINDER|Exercise QUESTION BANK|27 Videos

Similar Questions

Explore conceptually related problems

underset(x to 0)"Lt" (xe^x-log(1+x))/x^2 =

If lim _(xto0) 1/x [log (3+x) - log (3-x) ]=k, then the value of k is-

underset(xrarr0)"lim"(log(1+4x))/(x) =

Show that, underset(x to 0) lim (log(1+x+x^(2))+log(1-x+x^(2)))/(sec x-cos x)=1

Evaluate the following limits : underset(x to 0)lim (sin log(1+x))/(log(1+sinx))

underset(x to 0)"Lt" kxcosecx = underset(x to 0)"Lt" xcoseckx then k =

(log)_(0. 5)(3-x)/(x+2)<0

Evaluate the following limits : underset(x to 0) lim (e^(-(x)/(2))-1)/(log(1-3x))

Show that, underset(x to 1) lim (x^(x)-1)/(x log x)=1

Evaluate underset(xrarr0)(lim)(sinx+log(1-x))/(x^2)