Lt(x to 0) (1)/(2) (sqrt(1-cos2x))/(x)=...

`Lt_(x to 0) (1)/(2) (sqrt(1-cos2x))/(x)=`

A

0

B

1

C

2

D

does not exist

Text Solution

Verified by Experts

The correct Answer is:

D

Promotional Banner

Promotional Banner

Topper's Solved these Questions

LIMITS
AAKASH SERIES|Exercise PRACTICE EXERCISE|143 Videos
LIMITS
AAKASH SERIES|Exercise EXERCISE-I|48 Videos
INVERSET TRIGONOMETRIC FUNCTIONS
AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIOS)|5 Videos
LOCUS
AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

AAKASH SERIES-LIMITS-EXERCISE-II

Lt(x to0)(sinx^(2))/(|x|)=
Text Solution
|
Lt(x to0)(1)/(x)=
Text Solution
|
Lt(x to 0) (1)/(2) (sqrt(1-cos2x))/(x)=
Text Solution
|
f(x)=(tanx)/(sqrt(1+tan^(2)x)) and f((pi)/(2)-)=a,f((pi)/(2)+)=b then
Text Solution
|
underset(x to oo)"Lt" (e^(1//x)-e^(-1//x))/(e^(1//x)+e^(-1//x))=
Text Solution
|
Assertion (A) : Lt(x to0) (x)/(1+e^((1)/(x)))=0 Reason(R) : As x to...
Text Solution
|
If f: R to R is defined by f(x)==[x-3]+|x-4| for x in R then Lt(x to3...
Text Solution
|
Lt(x to 1){1-x+[x-1]+[1-x])=
Text Solution
|
If l(1)= Lt(x to2^(+))(x+[x]),l(2)=Lt(x to 2^(-))(2x-[x]) and l(3)=Lt...
Text Solution
|
Lt(x to (pi)/(2))[ sinx]=
Text Solution
|
If f(x)= {{:(,2x+b,(x lt a)),(,x+d,(x ge a)):}" is such that " underse...
Text Solution
|
If f(x)={{:(1 ,if "x is reational"),(-1, if "x is irrational"):}then ...
Text Solution
|
f(x)={{:(x ",",if "x is reational"),(-x",", if "x is irrational"):} L...
Text Solution
|
If f(x)={{:((sin(1+[x]))/([x]),"for" ,[x] ne 0),(0,"for",[x] =0):} whe...
Text Solution
|
If f: R to R is defined by {{:((x-2)/(x^(2)-3x+2),"if" x ne R-{1,2})...
Text Solution
|
Lt(x to0)x^(x)=
Text Solution
|
Lt(x to 0)((1)/(x))^(tanx)=
Text Solution
|
Lt(x to 0) log(x) sin x=
Text Solution
|
If g(x)=(x)/([x]) for x>2, then lim(xrarr2)(g(x)-g(2))/(x-2) is equal ...
Text Solution
|
lim(x to pi/2) ((2 x - pi)/(cos X)) =
Text Solution
|