What is the limit as x approaches 0 of e^3-e^{x+3} ?

The limit as x approaches 0 of e^3-e^{x+3} is 0

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limit as x approaches 0 of e^3-e^{x+3}

x \to 0 lim (e^{3} - e^{x + 3})

0

Solution steps

x \to 0 lim (e^{3} - e^{x + 3})

Plug in the value

x = 0

= e^{3} - e^{0 + 3}

Simplify

= 0

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What is the limit as x approaches 0 of e^3-e^{x+3} ?
The limit as x approaches 0 of e^3-e^{x+3} is 0