What is the limit as x approaches 3 of x^2e^x-sin(x) ?

The limit as x approaches 3 of x^2e^x-sin(x) is 9e^3-sin(3)

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limit as x approaches 3 of x^2e^x-sin(x)

x \to 3 lim (x^{2} e^{x} - sin (x))

9 e^{3} - sin (3)

Decimal

180.62871 \dots

Solution steps

x \to 3 lim (x^{2} e^{x} - sin (x))

Plug in the value

x = 3

= 3^{2} e^{3} - sin (3)

Simplify

= 9 e^{3} - sin (3)

What is the limit as x approaches 3 of x^2e^x-sin(x) ?
The limit as x approaches 3 of x^2e^x-sin(x) is 9e^3-sin(3)