Home
Class 11
MATHS
Check if lim(x to 5) f(x) exists or not,...

Check if `lim_(x to 5) f(x)` exists or not, where `f(x)={:{(|x+5|/(x+5),for, x ne-5),(0., for ,x=-5):}`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    FULL MARKS|Exercise ADDITIONAL PROBLEMS|11 Videos

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    FULL MARKS|Exercise EXERCISE 9.1|24 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

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

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

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

Verify the existence of lim_(xto1)f(x) , where f(x)={{:((|x-1|)/(x-1)","" for "xne1),(0","" for "x=1):}

If lim_(xtoa) {(f(x))/(g(x))} exists, then

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

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

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