Let `f(x)=(abs(x))/(sinx) for xne0 "and" f(0)=1 "then"`,

Which one of the following is correct in respect of the function f(x)=(x^(2))/(|x|) for xne0 and f(0)=0 ?

Let a function f be defined by f (x) =[x-|x|]/x for xne 0 and f(0)=2 .Then f is :

Find the value of a such that the function f defined by f(x)={((sinax)/(sinx) if xne0),(1/a if x=0):} is continuous at x=0.

Let f(x)={{:((1-cos2ax)/(xsin2x),"when " xne0),(" " (1)/(2),"when " x =0):} If f (x) is continuous at x = 0 , find the value of alpha .

Let f(x)={(absx/x,if xne0),(0,if x=0):} Examine the continuity of f(x) at x=0.

The function f(x)=x^(2)"sin"(1)/(x) , xne0,f(0)=0 at x=0

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

Discuss the continuity of f(x) at x = 0 if : f(x)={{:((sqrt(1+x)-sqrt(1-x))/(sinx)", if "xne0),(1" , if "x=0):} .