Home
Class 12
MATHS
Show that the function f(x)={xsin1/x\ \ ...

Show that the function `f(x)={xsin1/x\ \ \ ,\ \ \ \ w h e n\ x!=0 0\ \ \ \ \ \ \ \ \ \ \ w h e n\ x=0` is continuous but not differentiable at `x=0` .

Promotional Banner

Topper's Solved these Questions

  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5d|51 Videos
  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5e|19 Videos
  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5b|7 Videos
  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos
  • DETERMINANTS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Show that the function f(x) given by f(x)={xsin1/x ,x!=0 0,x=0

Show that the function f(x)={|2x-3|[x]x 0 is continuous but not differentiable at x=1

Show that the function f(x)={x sin((1)/(x)) when x!=0;=0, when x=0 is continuous butnot differentiable at x=0

Show that the function f(x)={x^(m)sin((1)/(x))0,x!=0,x=0 is differentiable at x=0 if m>1 continuous but not differentiable at x=0, if 0.

Show that the function f(x)={x^(m)sin((1)/(x)),x!=00,quad x=0 is continuous but not differentiable at x=0, if @

If f(x)={sqrt(x)(1+xsin1/x), xlt 0 and -sqrt(-x)(1+xsin1/x) , x lt 0 , then f(x) is and 0 , x=0 continuous as well differentiable at x=0

Let f(x)={{:(,x^(n)"sin "(1)/(x),x ne 0),(,0,x=0):} Then f(x) is continuous but not differentiable at x=0. If

f(x)=[(sinx)/x ,"w h e n"x!=0=2,"w h e n"x=0 sinx-, when x0/(x) =L= 2, when x=0

If the function f(x) defined as f(x)=-(x^(2))/(x),x 0 is continuous but not differentiable at x=0 then find range of n^(2)