`f(x)=xsin(pi//x)` प्रत्येक जगह सतत है, तब `f(0)=`

यदि फलन f(x)={{:(,((4^(x)-1)^(3))/(sin(x//4)log(1+x^(2)//3)),x ne 0),(,k,x=0):} , x=0 , पर सतत है तब k=

If f(x)={{:(xsin((1)/(x))", if "xne0),(0" , if "x=0):} then at x=0 the function f is

If f(x)={xsin(1/x) ,\ x!=0, then (lim)_(x->0)f(x) equals a. 1 b . 0 c. -1 d. none of these

If f(x)={xsin1/x , x!=0 0, x=0 , then (lim)_(x->0)f(x) equals a. 1 b . 0 c. -1 d. none of these

Consider the function f(x)={{:(xsin(pi)/(x),"for"xgt0),(0,"for"x=0):} Then, the number of points in (0,1) where the derivative f'(x) vanishes is

Consider the function f(x)={{:(xsin(pi)/(x),"for"xgt0),(0,"for"x=0):} Then, the number of points in (0,1) where the derivative f'(x) vanishes is