Question: Given the function f(z)=(z+2)^1/2, with graph shown in red, let m(h) denote the slope of the secant line to the graph of f through

Given the function f(z)=(z+2)^1/2, with graph shown in red, let m(h) denote

Given the function f(z)=(z+2)^1/2, with graph shown in red, let m(h) denote the slope of the secant line to the graph of f through (2, f (2)) and (2+h, f (2+h)). 2 Evaluate m(0.001). That is, determine the slope of the dotted blue line shown in the diagram. 2.0004 2.0002 2.0 1.9998 1.9996 Give your response as a decimal accurate to the nearest 0.0001. 4 1.998 1.999 (2, f(2) 2.0 (2.001, f(2.001)) 2,001 2002 2 Evaluate lim m(h). Enter your response as a radical number (not a decimal). h0

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