`f(x)={(2|x|+x^2)/x ,\ \ \ x!=0 ,\ \ \ and 0` at `x=0` is continuous at x = 0 or not.

Determine whether f(x)={(sinx^2)/x\ \ \ ,\ \ \ x!=0 0\ \ \ ,\ \ \ x=0 is continuous at x=0 or not.

If f(x)={(1-cosx)/(x^2)\ \ \ ,\ \ \ x!=0k\ \ \ ,\ \ \ x=0 is continuous at x=0 , find kdot

If f(x) ={ (x.ln(cosx))/ln (1+x^2) x!=0 , 0, x=0 then a) f is continuous at x =0 b) f is continuous at x =0 but not differentiable at x=0 c) f is differemtiable at x =0 d) f is not continuous at x =0

f(x)=[(cos x)cot^2x!=0e^(-1//2)\ if\ x=0 find whether the f(x) is continuous at x=0 or not.

A function f(x) is defined as follows f(x)={(sin x)/(x),x!=0 and 2,x=0 is,f(x) continuous at x=0? If not,redefine it so that it become continuous at x=0 .

If f(x)=(1-cos2x)/(x^(2))quad , x!=0 and f(x) is continuous at x=0 ,then f(0)=?

Show that the function f(x) given by f(x)={(sin x)/(x)+cos x,x!=0 and 2,x=0 is continuous at x=0

For what value of k, the function f(x)={((x)/(|x|+2x^(2))",", x ne 0),(k",", x=0):} is continuous at x = 0 ?

If f(x) = ((a+x)^(2)sin(a+x)-a^(2)sin a)/(x) , x !=0 , then the value of f(0) so that f is continuous at x = 0 is

If f(x) = {:((8^(x)-2^(x))/(k^(x)-1)", if " x != 0 ),(=2", if " x = 0 ):} is continuous at x = 0, then k = ….