What is the limit as x approaches infinity of 3^x+2 ?

The limit as x approaches infinity of 3^x+2 is infinity

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limit as x approaches infinity of 3^x+2

x \to \infty lim (3^{x} + 2)

\infty

Solution steps

x \to \infty lim (3^{x} + 2)

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 (3^{x}) + x \to \infty lim (2)

x \to \infty lim (3^{x}) = \infty

x \to \infty lim (2) = 2

= \infty + 2

Apply Infinity Property:

\infty + c = \infty

= \infty

x \to 2 lim (2 x^{3} - 2 x + 2)

x \to 1 lim (tan (π x))

x \to 8 + lim (\frac{7}{x - 8})

x \to 0 lim (\frac{f ( x ) - f ( 0 )}{x})

x \to 0 lim (\frac{cos ( x )}{e x})

What is the limit as x approaches infinity of 3^x+2 ?
The limit as x approaches infinity of 3^x+2 is infinity