Home
Class 12
MATHS
Find whether the limit of f(x) exists or...

Find whether the limit of f(x) exists or not at x = 3 , where `f(x)={{:(x+2,"if " -1ltxle3),(x^(2),"if "3ltxlt5):}`

Promotional Banner

Topper's Solved these Questions

  • LIMITS & CONTINUITY

    SRISIRI PUBLICATION|Exercise PROBLEMS ON CONTINUITY|9 Videos

  • IPE:MAY-2018[AP]

    SRISIRI PUBLICATION|Exercise SECTION-C (SAQs)|7 Videos

  • LOCUS

    SRISIRI PUBLICATION|Exercise 2 D (SPQ)|6 Videos

Similar Questions

Explore conceptually related problems

Find whether the limit of f(x) exists or not at x = 3, where f(x) = {(x + 2, if - 1 < x le 3),(x^2, if 3 < x < 5):}

Find the left and right hand limits of the function at the point 'a' mentioned against them. Hence check whether the function have limits at those points. f(x)={{:(x+2" if "-1ltxle3),(x^(2)" if "3ltxlt5):},a=3

Find all points of discontinuity of f, where f is defined by f(x)={{:(|x|+3," if "x le -3),(-2x," if "-3 ltx lt 3),(6x+2," if "x ge 3):} .

Find all points of discontinuity of f, where f is defined by f(x)={{:(x^(3)-3," if "x le2),(x^(2)+1," if "x gt 2):}

Find the left and right hand limits of the function at the point 'a' mentioned against them. Hence check whether the function have limits at those points. f(x)={{:(x^(2)" , "xle1),(x" if "1ltxle2),(x-3" if "xgt2):},a=2

Find all points of discontinuity of f, where f is defined by f(x) = {{:(2x+3," if "x le 2),(2x-3," if "x gt 2):} .

Discuss the continuity of f(x) in [0,2] where f(x) = {{:([cos pi x]" , " x le 1),(| 2x - 3 |.[ x- 2]" ," x gt 1):} where [.] denotes the G.I.F.

Find the anti derivative F of f defined by f (x) = 4x^(3) - 6 , where F (0) = 3

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