What is the limit as x approaches infinity of 2/x+pi ?

The limit as x approaches infinity of 2/x+pi is pi

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limit as x approaches infinity of 2/x+pi

x \to \infty lim (\frac{2}{x} + π)

π

Decimal

3.14159 \dots

Solution steps

x \to \infty lim (\frac{2}{x} + π)

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{2}{x}) + x \to \infty lim (π)

x \to \infty lim (\frac{2}{x}) = 0

x \to \infty lim (π) = π

= 0 + π

Simplify

= π

What is the limit as x approaches infinity of 2/x+pi ?
The limit as x approaches infinity of 2/x+pi is pi