y=(1+1/x)^x complete the table. round your entries to the nearest thousandth. a≈ b≈ c≈ d≈ e≈ done

Explanation:

Step1: Calculate value of (a)

When (x = 10), (y=(1+\frac{1}{10})^{10}=(\frac{11}{10})^{10}). Using a calculator, (y\approx2.594).

Step2: Calculate value of (b)

When (x = 100), (y=(1 +\frac{1}{100})^{100}=(\frac{101}{100})^{100}). Using a calculator, (y\approx2.705).

Step3: Calculate value of (c)

When (x = 10000), (y=(1+\frac{1}{10000})^{10000}). Using a calculator, (y\approx2.718).

Step4: Calculate value of (d)

When (x = 100000), (y=(1+\frac{1}{100000})^{100000}). Using a calculator, (y\approx2.718).

Step5: Calculate value of (e)

When (x = 1000000), (y=(1+\frac{1}{1000000})^{1000000}). Using a calculator, (y\approx2.718).

Answer:

(a\approx2.594) (b\approx2.705) (c\approx2.718) (d\approx2.718) (e\approx2.718)