Let f(x)={x23xifx<2x3-cxifx2for what value of the constant c is function f continuous on (-,)?step 1recall that a at number if following holds.limxaf(x) =f(a)We are given following-f(x) ={23xifx<2x3-ifx2We note for all values both (-m,2) and (2,m). only case we need so consider when x-2. to be (-m,m), ensure there not discontinuity x =2. do so, must determine such holds.limx2-(x) =limx2(x)Find limits.limx2-f(x) =limx2-(x23x)=limx2f(x)=limx2(x3-)=