Question: Use a calculator to evaluate the function f(x) = x 2 for x = 1, 0.1, 0.01, . . . . , 0.000 000 001.

Use a calculator to evaluate the function f(x) = x2 for x = 1, 0.1, 0.01, . . . . , 0.000 000 001. What do these calculations suggest about

lim f(x)? x0+

Since x* = e Inx, the value of this limit is related to lim (x Inx). By setting x=e and using the x 0+

lim f(x)? x0+

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