For a gt 0 underset(x rarr a)lim(x^(n)-a...

For `a gt 0 underset(x rarr a)lim(x^(n)-a^(n))/(x-a)` =

A

`infty`

B

`na^(n-1)`

C

1

D

`(n-1)a^(n)`

Text Solution

Verified by Experts

The correct Answer is:

B

Promotional Banner

Promotional Banner

Topper's Solved these Questions

LIMITS AND DERIVATIVES
OMEGA PUBLICATION|Exercise IMPORTANT QUESTIONS FROM MISCELLANEOUS EXERCISE|9 Videos
CONIC SECTIONS
OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|26 Videos
LINEAR INEQUALITIES
OMEGA PUBLICATION|Exercise Multiple Choice Questions |15 Videos

OMEGA PUBLICATION-LIMITS AND DERIVATIVES-MULTIPLE CHOICE QUESTION

The derivative of an odd function is always
Text Solution
|
The rate of change of the volume of a sphere w.r.t. its surface area, ...
Text Solution
|
If f(x)=x^(2) , then f'(2) is
Text Solution
|
The derivative of f(x) =|x | at x=0 is
Text Solution
|
If f(x)=2x-5, then f(1) is
Text Solution
|
Derivative of x^(6) + 6^(x) w.r.t. 'x' is
Text Solution
|
The derivative of sin x cos x w.r.t. x is
Text Solution
|
If x= a(theta+sin theta), y=a(1-cos theta), then (dy)/(dx)=
Text Solution
|
[d/dx(sin^-1 x + cos^-1 x)]
Text Solution
|
If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+...oo,))) where sinxgt0, then find ...
Text Solution
|
underset(theta rarr 0) lim (sin theta)/(theta) =
Text Solution
|
underset(theta rarr 0)lim(sin 5theta)/(theta) is
Text Solution
|
underset(theta rarr 0)lim (tan theta)/(theta)
Text Solution
|
For a gt 0 underset(x rarr a)lim(x^(n)-a^(n))/(x-a) =
Text Solution
|
(d)/(dx)(aa^(x))=?( a gt 0, a ne 1)
Text Solution
|
(d)/(dx)(sec x) =
Text Solution
|
(d)/(dx)(2)^x = ?
Text Solution
|
(d)/(dx)(log(a)x)= ? (for agt0, a ne 1)
Text Solution
|
(d)/(dx)|x|=? (for x ne 0)
Text Solution
|
(d)/(dx) (tan x) =
Text Solution
|