What is the limit as x approaches infinity of 4+4e 1/(x-3) ?

The limit as x approaches infinity of 4+4e 1/(x-3) is 4

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limit as x approaches infinity of 4+4e 1/(x-3)

x \to \infty lim (4 + 4 e \frac{1}{x - 3})

4

Solution steps

x \to \infty lim (4 + 4 e \frac{1}{x - 3})

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 (4) + x \to \infty lim (4 e \frac{1}{x - 3})

x \to \infty lim (4) = 4

x \to \infty lim (4 e \frac{1}{x - 3}) = 0

= 4 + 0

Simplify

= 4

What is the limit as x approaches infinity of 4+4e 1/(x-3) ?
The limit as x approaches infinity of 4+4e 1/(x-3) is 4