Home
Class 12
MATHS
Evaluate lim(x to 0) [(2008 "sin x)/(x)]...

Evaluate `lim_(x to 0) [(2008 "sin x)/(x)] + [(2009 tan x)/(x)]` where [x] denotes the greatest integer `le x`.

Text Solution

Verified by Experts

The correct Answer is:
4016
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Section - j|3 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Section - H|2 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

  • MATHEMATICAL REASONING

    AAKASH INSTITUTE|Exercise Assignment (SECTION-D) (Assertion-Reason Type Questions)|15 Videos

Similar Questions

Explore conceptually related problems

The value of lim_(x rarr0)[(2008sin x)/(x)]+[(2009tan x)/(x)], (where [x] denotes the greatest integer <=x)

The function f(x) = [x], where [x] denotes the greatest integer le x , is

lim_(x->0) (lnx^n-[x])/[x], n in N where [x] denotes the greatest integer is

lim_(xto0) [(sin(sgn(x)))/((sgn(x)))], where [.] denotes the greatest integer function, is equal to

If p= lim_(x rarr0^(+))[(3sin x)/(x)] ,q= lim_(x rarr0^(+))[(3x)/(sin x)] ,r= lim_(x rarr0^(+))[(tan x)/(x)] and s=lim_(x rarr0^(+))[(3tan x)/(x)] where [.] denotes the greatest integer function (A) pqrs=18 (B) pqrs=0 (C) p+q+r+s=9 (D) pq+rs+qr+sp=18

The value of lim_(x rarr0)([(100x)/(sin x)]+[(99sin x)/(x)]) , [.] denotes the greatest integer function,is

lim_(x rarr0)[(99tan x sin x)/(x^(2))] = Where [.] denotes the greatest integer function

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

lim_(xrarr0) x^8[(1)/(x^3)] , where [.] ,denotes the greatest integer function is

Evaluate underset(x rarr 0 ) ("lim") [ ( sin^(-1) x )/( x ) ] ( where [ ** ] denotes the greatest integer function ) .