Examine the continuity of the function f defined by `f(x) =Lt_(n->oo) x/((2sinx)^(2x)+1).`

Examine continuity of the function f defined by. f(x)=x-5

Examine continuity of the function f defined by. f(x) =|x-5|

Examine continuity of the function f defined by. f(x) =frac(1)(x-5)

Examine the continuity of the function f defined by f(x) = {[2x+1if x 1]:} .

Examine continuity of the function f defined by. f(x) = frac (x^2-25)(x+5)

Examine the continuity of the function f(x)= 2x + 3 " at " x=1

Examine the continuity of the function f(x)= |x| + |x-1| at x=1

Examine the continuity of the function f(x)= x^(3) + 2x^(2)-1 " at " x=1

Check the continuity of the function f defined by f(x)={{:(x+1,if xle1),(2x,if 1 lt x lt 2x),(1+xA^(2),if x ge 2):} at x=1 and 2