Home
Class 12
MATHS
underset(xto0)lim[(1-e^(x))(sinx)/(|x|)]...

`underset(xto0)lim[(1-e^(x))(sinx)/(|x|)]` is (where `[.]` represents the greatest integer function )

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

lim_(xto0) [(1-e^(x))(sinx)/(|x|)] is (where [.] represents the greatest integer function )

To evaluate lim_(xtoa)[f(x)] , we must analyse the f(x) in right hand neighbourhood as well as in left hand neighbourhood of x=a . E.g. In case of continuous function, we may come across followign cases. If f(a) is an integer, the limit will exist in Case III and Case IV but not in Case I and Case II. lim_(xto0)[(1-e^(x)).(sinx)/(|x|)] (where [.] denotes the greatest integer function) equals

Prove that [lim_(xto0) (sinx)/(x)]=0, where [.] represents the greatest integer function.

Evaluate: lim (tan x)/(x) where [.] represents the greatest integer function

lim_(x->0)[(1-e^x)(sinx)/(|x|)]i s(w h e r e[dot] represents the greatest integer function). (a)-1 (b) 1 (c) 0 (d) does not exist

Evaluate: lim_(x rarr0)(sin x)/(x), where [.] represents the greatest integer function.

If a>0lim_(x rarr oo)([ax+b])/(x) is where [.] represents the Greatest integer function

underset( x rarr 0 ) ("lim") [ ( 1-e^(x)) ( sin x )/( |x|)] is ( where [ **] denotes greatest integer function )

Evaluate : [lim_(x to 0) (sin x)/(x)] , where [*] represents the greatest integer function.

lim_(xrarr0) [(100 tan x sin x)/(x^2)] is (where [.] represents greatest integer function).