Consider the function (x) = x. (a) Compute the slope of the secant lines from (0, 0)

Consider the function ƒ(x) = √x.
(a) Compute the slope of the secant lines from (0, 0) to (x,ƒ(x)) for x = 1, 0.1, 0.01, 0.001, 0.0001.
(b) Discuss what the secant-line slopes in (a) suggest happens to the tangent line at 0.
(c) Plot the graph of ƒ near x = 0 and verify your observation from (b).

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0.06 0.05 0,04 0.03 0.02 0,01 0,00 _________ 'T ... 0,005 0,010 0.015 0,020