What is the limit as x approaches 0-of x^2-ke^{-x} ?

The limit as x approaches 0-of x^2-ke^{-x} is -k

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limit as x approaches 0-of x^2-ke^{-x}

x \to 0 - lim (x^{2} - k e^{- x})

- k

Solution steps

x \to 0 - lim (x^{2} - k e^{- x})

Plug in the value

x = 0

= 0^{2} - k e^{- 0}

Simplify

= - k

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What is the limit as x approaches 0-of x^2-ke^{-x} ?
The limit as x approaches 0-of x^2-ke^{-x} is -k