Home
Class 11
MATHS
Evaluate lim(xrarr0)f(x)," where "f(x)={...

Evaluate `lim_(xrarr0)f(x)," where "f(x)={{:((|x|)/(x)",",x ne0),(0",",x=0):}`

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    KUMAR PRAKASHAN|Exercise EXERCISE 13.2|8 Videos

  • LIMITS AND DERIVATIVES

    KUMAR PRAKASHAN|Exercise EXERCISE 13.3|27 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST :)|12 Videos

  • MATHEMATICAL REASONING

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (Knowledge Test:)|2 Videos

Similar Questions

Explore conceptually related problems

f(x) = {((|x|)/(x)",","if" x ne 0),(0",","if" x= 0):}

lim_(xrarr0+)|x|/(x)

Find lim_(xrarr5)f(x) , where f(x)=|x|-5

Evaluate : lim_(xrarr0)(tanx)/(x)

Find lim_(xrarr1)f(x) , where f(x)={{:(x^(2)-1",",xle1),(-x^(2)-1",",xgt1):}

Find lim_(xrarr0)f(x) and lim_(xrarr1)f(x) , where f(x)={{:(6x+3",",xle0),(x+6",",xgt0):}

Find lim_(xrarr0)f(x) and lim_(xrarr1)f(x) , where f(x)={{:(2x+3",",xle0),(3(x+1)",",xgt0):}

If f(x) = {{:((1)/(e^(1//x))",",x ne 0),(0",",x = 0):} then