Consider the function `f(x)=[x^2|cospi/(2x)|\ if\ x!=0 0,\ \ \ \ \ \ \ \ \ \ \ \ \ \ if\ x=0` Show that `f(0) `is continuous

Show that the function f(x) given by f(x)={(sinx)/x+cosx ,\ \ x!=0 2,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=0 is continuous at x=0 .

Consider the function f(x)=1/x^(2) for x gt 0 . To find lim_(x to 0) f(x) .

Consider the function f (x) = 1/x^2 for x > 0. To find lim_(x to 0) f(x) .

Consider the function : f (x) ={(x-2,x 0):} . To find lim_(x to 0) f(x) .

Consider the function f(x)={:{(x^(2)|x|x!=0),(" 0 "x=0):}} what is f'(0) equal to ?

Show that the function f(x)=2x-|x| is continuous at x=0.

Show that the function f(x)=2x-|x| is continuous at x=0 .

Show that the function f(x)=2x-|x| is continuous at x=0.

Show that the function f(x)=2x-|x| is continuous at x=0 .

Show that the function f(x)=2x-|x| is continuous at x=0 .