`f(x)={m x-3,w h e nx<2 and x/m ,w h e n xgeq2} ` For what values of m does `lim_(x->2) f(x)` exist when

If f(x) =[m x^2+n , x 1 . For what integers m and n does both (lim)_(x->1)f(x)dot

If f(x)= {(mx^2 + n, x lt 0),(nx + m, 0 le x le 1),(nx^3 + m , x gt 1) :} , for what integers m and n does lim_(x rarr 0) and lim_(x rarr 1) f(x) exist ?

If f(x)={{:(mx^(2)+n",", x lt 0), (nx+m",", 0 le x le 1), (nx^(3)+m",", x gt 1):} . For what integers m and n does lim_(x to 0)f(x)" and "lim_(x to 1)f(x) exist ?

If f(x)=(sin3x)/x,w h e nx!=0, f(x)= 1,w h e n x=0 Find whether f(x) is continuous at x=0

If f(x)={(mx^2+n, x 1):} . For what integers m and n does both lim_(x rarr 0)f(x) and lim_(x rarr 1)f(x) exist?

If f(x)={(sin3x)/x,w h e nx!=0 1,w h e nx=0dot Find whether f(x) is continuous at x=0

If f(x)={mx^(2)+n,x 1}. For what integers m and n does both lim_(x rarr0)f(x) and lim_(x rarr1)f(x) exist?

If f(x)={x^2, for xgeq1x ,for x<0 ,t h e n fof(x) is given by

If f(x)={{:(mx^2+x+n,"," x lt 0),(nx +m ,"," 0 le x le 1),(2nx^3+x^2-2x+m,","x gt1):} and lim_(xto0)f(x) and lim_(xto1) f(x) exist then