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Popular >

expand (n+1)e^{1/n}

Solution

expand

(n + 1) e^{\frac{1}{n}}

Solution

n e^{\frac{1}{n}} + e^{\frac{1}{n}}

Solution steps

(n + 1) e^{\frac{1}{n}}

= e^{\frac{1}{n}} (n + 1)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{\frac{1}{n}}, b = n, c = 1

= e^{\frac{1}{n}} n + e^{\frac{1}{n}} \cdot 1

= n e^{\frac{1}{n}} + 1 \cdot e^{\frac{1}{n}}

Multiply:

1 \cdot e^{\frac{1}{n}} = e^{\frac{1}{n}}

= n e^{\frac{1}{n}} + e^{\frac{1}{n}}

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Frequently Asked Questions (FAQ)

What is expand (n+1)e^{1/n} ?
The solution to expand (n+1)e^{1/n} is ne^{1/n}+e^{1/n}