What is the limit as n approaches infinity of (1+r/n)^{nt} ?

The limit as n approaches infinity of (1+r/n)^{nt} is e^{tr}

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limit as n approaches infinity of (1+r/n)^{nt}

n \to \infty lim ((1 + \frac{r}{n})^{n t})

e^{t r}

Solution steps

n \to \infty lim ((1 + \frac{r}{n})^{n t})

Apply exponent rules

= n \to \infty lim (e^{n t l n (1 + \frac{r}{n})})

Apply the Limit Chain Rule:

e^{t r}

= e^{t r}

x \to 0 lim (x + 1 + x^{2})

x \to - 1 - lim (e^{\frac{1}{2} x})

x \to 0 + lim ((1 + 2 x)^{\frac{2}{x}})

t \to 0 lim (- 5 e^{t})

x \to a lim (\frac{2 ( - 3 )}{8 - 0})

What is the limit as n approaches infinity of (1+r/n)^{nt} ?
The limit as n approaches infinity of (1+r/n)^{nt} is e^{tr}