What is the limit as x approaches 1 of ln(5x)+e^x ?

The limit as x approaches 1 of ln(5x)+e^x is ln(5)+e

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limit as x approaches 1 of ln(5x)+e^x

x \to 1 lim (ln (5 x) + e^{x})

ln (5) + e

Decimal Notation

4.32771 \dots

Solution steps

x \to 1 lim (ln (5 x) + e^{x})

Plug in the value

x = 1

= ln (5 \cdot 1) + e^{1}

Simplify

= ln (5) + e

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What is the limit as x approaches 1 of ln(5x)+e^x ?
The limit as x approaches 1 of ln(5x)+e^x is ln(5)+e