Question: Let f(x) = (1 + x) 1/x . a. Make two tables, one showing values of f for x = 0.01,0.001, 0.0001, and 0.00001 and

Let f(x) = (1 + x)^1/x.

a. Make two tables, one showing values of f for x = 0.01,0.001, 0.0001, and 0.00001 and one showing values of f for x = -0.01, -0.001, -0.0001, and -0.00001. Round your answers to five digits.

b. Estimate the value of lim_x→0 (1 + x)^1/x.

c. What mathematical constant does lim_x→0 (1 + x)^1/x appear to equal?

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