What is the limit as x approaches 7 of e^x-e^{-x}-x ?

The limit as x approaches 7 of e^x-e^{-x}-x is e^7-1/(e^7)-7

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limit as x approaches 7 of e^x-e^{-x}-x

x \to 7 lim (e^{x} - e^{- x} - x)

e^{7} - \frac{1}{e ^{7}} - 7

Decimal

1089.63224 \dots

Solution steps

x \to 7 lim (e^{x} - e^{- x} - x)

Plug in the value

x = 7

= e^{7} - e^{- 7} - 7

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= e^{7} - \frac{1}{e ^{7}} - 7

What is the limit as x approaches 7 of e^x-e^{-x}-x ?
The limit as x approaches 7 of e^x-e^{-x}-x is e^7-1/(e^7)-7