Find all possible values of a and b so that f(x) is continuous for all `x epsilon R `if `f(x) = (|ax+3| if x <= -1 ) , f(x) = |3x+a| if -1=pi`

Find all possible values of a and b so that f(x) is continous for all x in R if f(x) = {{:(|ax+3|, if, x le -1),(|3x+a|, if, -1 lt x le 0),((bsin2x)/x -2b, if, 0 lt x lt pi),(cos^(2)x-3, if, x ge pi):}

Show that f(x)=cos x is continuous for all values of x.

Show that f(x)=cos x is continuous for all values of x.

Show that f(x)=sin x is continuous for all values of x .

Find all the possible values of f(x) =(1-x^2)/(x^2+3)

Find all the possible values of f(x) =(1-x^2)/(x^2+3)

Find all the possible values of f(x) =(1-x^2)/(x^2+3)

Find all the possible values of f(x) =(1-x^2)/(x^2+3)

The function f(x)=ax+b is strictly decreasing for all x epsilon R if

If {(1,xle3) , (ax+b,3 hence find the value of 'a' and 'b' so that f(x) is continuous.