Find the function? The following limits represent the slope of a curve y = f(x) at the point (a, f(a)). Determine a function f and a number a; then, calculate the limit. 4 lim (2+h) ?16 h?0 h

SOLUTION STEP 1 Given is the slope of the curve y=f(x) Thus it is the derivative of the function f(x). (2+h) 16 ie,f(a) = lim h h0 Thus comparing with the definition of the derivative f(a+h)f(a) f(a) = lim h h0 4 4 Thus f(a) = 2 f(x) = x 4 Thus we can find that f(x) = x and a = 2 Thus the...