Home
Class 11
MATHS
Verify the existence of lim(xto1)f(x), w...

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

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    SURA PUBLICATION|Exercise EXERCISE 9.2|14 Videos

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    SURA PUBLICATION|Exercise EXERCISE 9.3|12 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (section - D)|5 Videos

  • DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION-D (5 MARKS)|4 Videos

Similar Questions

Explore conceptually related problems

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_(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 3) f(x) , where f(x)={:{(|x-3|/(x-3),for , xne 3),(0, for ,x =3):}

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

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

Find lim_(xto1)f(x) , where f(x)={{:(x^(2)-1","xle1),(-x^(2)-1","xgt1):}

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

Test the existance of the limit lim_(xto1)(4|x-1|+x-1)/(|x-1|),xne1

Find lim_(xto0)f(x) and lim_(xto1)f(x) , where f(x)={{:(2x+3","xle0),(3(x+1)","xgt0):}