What is the limit as x approaches 2 of 2x^3+4e^x ?

The limit as x approaches 2 of 2x^3+4e^x is 16+4e^2

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limit as x approaches 2 of 2x^3+4e^x

x \to 2 lim (2 x^{3} + 4 e^{x})

16 + 4 e^{2}

Decimal

45.55622 \dots

Solution steps

x \to 2 lim (2 x^{3} + 4 e^{x})

Plug in the value

x = 2

= 2 \cdot 2^{3} + 4 e^{2}

Simplify

2 \cdot 2^{3} + 4 e^{2} : 16 + 4 e^{2}

= 16 + 4 e^{2}

What is the limit as x approaches 2 of 2x^3+4e^x ?
The limit as x approaches 2 of 2x^3+4e^x is 16+4e^2