What is the value of lim(xto0)(sqrt(1+...

What is the value of `lim_(xto0)(sqrt(1+x)-1)/(x)` ?

A

A. 0

B

B. `1//2`

C

C. 1

D

D. `-1//2`

Text Solution

Verified by Experts

The correct Answer is:

B

Promotional Banner

Promotional Banner

Topper's Solved these Questions

LIMIT
PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |43 Videos
INVERSE TRIGONOMETRIC FUNCTION
PUNEET DOGRA|Exercise PREV YEAR QUESTION|35 Videos
LOGARITHM
PUNEET DOGRA|Exercise PREVIOUS YEAR QUESTIONS|24 Videos

PUNEET DOGRA-LIMIT-PREV YEAR QUESTIONS

If f(9)=9andf′ (9)=4 then what is lim(xto9)(sqrt(f(x))-3)/(sqrt(x)-...
Text Solution
|
What is lim(xto0)((1+x)^(n)-1)/(x) equal to ?
Text Solution
|
lim(xtooo)(2^(x)-1)/(sqrt(1+x)-1) equal to ?
Text Solution
|
What is lim(xto2)(2-x)/(x^(3)-8) equal to ?
Text Solution
|
What is lim(xto0)(1-cosx)/(x) equal to ?
Text Solution
|
What is lim(x to 0)xsecx?
Text Solution
|
lim(xto0)(xcosx-sinx)/(x^(2)sinx) equal to ?
Text Solution
|
Consider the following statements : I . lim(xto0)(1)/(x) exists...
Text Solution
|
Which is lim(xto0)(sinx-tanx)/(x) equal to ?
Text Solution
|
What is the value of lim(xto0)(1-sqrt(1+x))/(x) ?
Text Solution
|
What is the value of lim(xto0)(sqrt(1+x)-1)/(x) ?
Text Solution
|
What is the value of lim(xto0)(2(1-cosx))/(x^(2))?
Text Solution
|
What is the value of lim(xto2)(x-2)/(x^(2)-4) ?
Text Solution
|
Consider the following statements : I . lim(xto0)(1)/(x) exists...
Text Solution
|
What is the value of lim(xto0)x^(2)"sin"((1)/(x))?
Text Solution
|
What is the value of lim(xto-2)((x+2)/(x^(3)+8))?
Text Solution
|
int(x^(2)-1)/((x^(2)+1)sqrt(x^(4)+1)) dx is equal to -
Text Solution
|
What is lim(xto0)(e^(x)-(1+x))/(x^(2)) equal to ?
Text Solution
|
What is the value of lim(xto2)(x-2)/(x^(2)-4) ?
Text Solution
|
What is the value of lim(xto2)(x-2)/(x^(2)-4) ?
Text Solution
|