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. lim ?2+h??2 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+h2 ie,f(a) = lim h h0 Thus comparing with the definition of the derivative f(a) = lim f(a+h)f(a) h0 h Thus f(a + h) = 2 + h f(a) = 2 f(x) = x Thus we can find...