What is the limit as h approaches 2+of e^{2/h} ?

The limit as h approaches 2+of e^{2/h} is e

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limit as h approaches 2+of e^{2/h}

h \to 2 + lim (e^{\frac{2}{h}})

e

Decimal Notation

2.71828 \dots

Solution steps

h \to 2 + lim (e^{\frac{2}{h}})

Plug in the value

h = 2

= e^{\frac{2}{2}}

Simplify

= e

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What is the limit as h approaches 2+of e^{2/h} ?
The limit as h approaches 2+of e^{2/h} is e