if `f(x) = {{:(x+2",",xle1),(cx^(2)",",xgt-1):},` then find c when `lim_(xto-1) f(x)` exists.

if f(x) = {{:(x+2",",xle-1),(cx^(2)",",xgt-1):}, then find c when lim(xto-1)f(x) exists.

Let f(x)={{:(x+k,,,x le -1), (cx^(2),,, x gt -1","):} find 'c', if lim_(x to -1)f(x) exists.

If f(x)={{:(x","" "xlt0),(1","" "x=0),(x^(2)","" "xgt0):}," then find " lim_(xto0) f(x)" if exists.

If f(x)={{:(x","" "xlt0),(1","" "x=0),(x^(2)","" "xgt0):}," then find " lim_(xto0) f(x)" if exists.

If f(x)={{:(x","" "xlt0),(1","" "x=0),(x^(2)","" "xgt0):}," then find " lim_(xto0) f(x)" if exists.

Let f(x)={:{(x+2",",xle-1),(cx^(2)",",xgt-1):} If Lt_(xto-1) f(x) exists, then c is (i) -1 (ii) 1 (iii) 2 (iv) -2

If f(x)={{:(2x^(2)+1",",xle1),(4x^(3)-1",",xgt1):} , then int_(0)^(2)f(x)dx is

Let f(x)={:{(x^(2)-1",",xle1),(-x^(2)-1",",xgt1.):} "Find"lim_(xrarr1)f(x).

If f(x)={(x","xle1,),(x^2+bx+c",",xgt1):} then find the values of b and c if f(x) is diferentiable at x=1.