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Popular >

limit as x approaches infinity of (((e^x-e^{-x}))/((e^x+e^{-x))})+4

Solution

x \to \infty lim ((\frac{( e ^{x} - e ^{- x} )}{( e ^{x} + e ^{- x} )}) + 4)

Solution

5

Solution steps

x \to \infty lim (\frac{e ^{x} - e ^{- x}}{e ^{x} + e ^{- x}} + 4)

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

= x \to \infty lim (\frac{e ^{x} - e ^{- x}}{e ^{x} + e ^{- x}}) + x \to \infty lim (4)

x \to \infty lim (\frac{e ^{x} - e ^{- x}}{e ^{x} + e ^{- x}}) = 1

x \to \infty lim (4) = 4

= 1 + 4

Simplify

= 5

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Frequently Asked Questions (FAQ)

What is the limit as x approaches infinity of (((e^x-e^{-x}))/((e^x+e^{-x))})+4 ?
The limit as x approaches infinity of (((e^x-e^{-x}))/((e^x+e^{-x))})+4 is 5