Home
Class 12
MATHS
Evaluate lim(xto0) (sin[cosx])/(1+[cosx]...

Evaluate `lim_(xto0) (sin[cosx])/(1+[cosx])` (`[.]` denotes the greatest integer function).

Text Solution

Verified by Experts

The correct Answer is:
0
When `xto0^(+)" or "0^(-),cosxto1^(-)`
or `" "[cosx]=0" for "xto0`
`:." "underset(xto0)lim(sin[cosx])/(1+[cosx])=(sin0)/(1+0)=0`
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    CENGAGE PUBLICATION|Exercise EXERCISE 2.2|7 Videos

  • LIMITS

    CENGAGE PUBLICATION|Exercise EXERCISE 2.3|15 Videos

  • LIMITS

    CENGAGE PUBLICATION|Exercise Solved Examples|15 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 10|8 Videos

  • LINEAR COMBINATION OF VECTORS, DEPENDENT AND INDEPENDENT VECTORS

    CENGAGE PUBLICATION|Exercise DPP 1.2|10 Videos

Similar Questions

Explore conceptually related problems

Evaluate: lim_(xto(5pi)/(4)) [sinx+cosx] , [.] denotes the greatest integer function.

Evaluate: lim_(xto0)(sinx+cosx)^(1//x)

Evaluate lim_(x->(5pi)/4) [sinx+cosx], where [.] denotes the greatest integer function.

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

Evaluate: lim_(xto0)(1+sin2x)^(cosecx)

Evalute [lim_(xto0) (sin^(-1)x)/(x)]=1 , where [*] represets the greatest interger function.

Evaluate lim_(xto0) sin(picos^(2)x)/(x^(2)).

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

lim_(xto0) [min(y^(2)-4y+11)(sinx)/(x)] (where [.] denotes the greatest integer function) is

lim_(xrarr1([x]+[x]) , (where [.] denotes the greatest integer function )