Home
Class 11
MATHS
Evaluate lim(x to 0) where f(x)={:{(|x|/...

Evaluate `lim_(x to 0)` where `f(x)={:{(|x|/x, x ne 0),(0, x=0):}`

Text Solution

Verified by Experts

The correct Answer is:
does not exist
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    FULL MARKS|Exercise EXERCISE 9.1|24 Videos
  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    FULL MARKS|Exercise EXERCISE 9.2|15 Videos
  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    FULL MARKS|Exercise EXERCISE 9.6|25 Videos
  • DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    FULL MARKS|Exercise EXERCISE 5 ADDITIONAL PROBLEMS (Find the derivative of following functions.)|10 Videos
  • EXAMINATION QUESTION PAPER - JUNE 2019

    FULL MARKS|Exercise PART -IV|7 Videos

Similar Questions

Explore conceptually related problems

Evaluate lim_(xto0)f(x) , where f(x)={{:((|x|)/(x)","xne0),(0","x=0):}

Find the limits lim_(x to 2) f(x) where f(x)={:{(4-x,x ne2),(0,x=2):}

Evaluate : lim_(x to 0) (sinx)/(x)

Find the limits lim_ (x to 1) f(x) where f(x)={:{(x^2+2,x ne1),(1,x=1):}

Evaluate lim_(x to 0) x^2 sin (1/x) .

Find lim_(xto0)f(x) , where f(x)={{:((x)/(|x|)","xne0),(0","x=0):}

Verify the existence of lim_(x to 3) f(x) , where f(x)={:{(|x-3|/(x-3),for , xne 3),(0, for ,x =3):}

Evaluate: lim_(xrarr0)x^x

Verify the existence of lim_ (x to 1)f(x) , where f(x)={{:((|x-1|)/(x-1),"for" x ≠ 1),(0,"for" x=1):}

Evaluate lim_(x to 0) (sqrt(1 +x^(2))-1)/x