Home
Class 11
MATHS
Find lim(xrarr1) f(x) where f(x)={(x^2-1...

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

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    MAXIMUM PUBLICATION|Exercise EXAMPLE|48 Videos
  • LINEAR INEQUALITIES

    MAXIMUM PUBLICATION|Exercise EXAMPLE|56 Videos

Similar Questions

Explore conceptually related problems

Find lim_(xrarr0) f(x) and lim_(xrarr1) f(x) where f(x)={(2x+3,xle0), (3(x+1),x>0):}

Evaluate lim_(x rarr 1) where f(x) = {(x^2 - 1, x le 1),( -x^2 - 1 , x gt 1) :}

Evaluate lim_(x rarr 0) f(x) and lim_(x rarr 1) f(x), where f(x) = { (2x + 3 , x le 0) , (3(x+1) , x gt 0)}

Evalute lim_(xrarr0)f(x) , where f(x)={(absx/x, x ne 0),(0,x=0):}

Find lim_(xrarr0) f(x) if it exists, where f(x)={(abs[x]/x,,x,!=,0),(0,,x,=,0):}

Evaluate lim_(xrarr0) where f(x) = {(x/absx , x ne 0), (0 , x=0) :}

Find k so that lim_(x rarr 2) f(x) exists, where f(x) = {(2x+3 if xle2),(x + k if x gt2):}

Find all points of discontinuity of f, where f is defined by f(x)={(x+1ifxge1),(x^2+1ifxlt1):}}

Find all points of discontinuity of f where f is defined by f(x)={(2x+3,xle2),(2x-3,x>2):}

Examine whether the function defined by f(x)={(x+5,xle1),(x-5,x>1):} is continuous or not .