Draw the graph of the function `y=f(x)=lim_(ntooo) cos^(2n)x` and find its period.

Draw the graph of the function f(x)=x^2

Draw the graph of the function, f(x)=x^2 .

draw the graph of function. y=(|x|-x)/(2)

Draw the graph of the function y= f(x) = lim_(n to oo) (x^(2n)-1)/(x^(2n)+1) . Is this function same as the function g(x) = "sgn"(x^(2)-1) .

Show that the function f(x) = cos 2x is periodic and find its period.

Show that the function f(x) = cos (x/2+pi/4) is periodic and find its period.

Consider the function f(x)={2x+3, x le 1 and -x^2+6, x > 1 Then draw the graph of the function y=f(x), y=f(|x|) and y=|f(x)|.

Consider the function f(x)={2x+3, x le 1 and -x^2+6, x > 1} Then draw the graph of the function y=f(x), y=f(|x|) and y=|f(x)|.