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

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

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limit as x approaches infinity of 2+3x

x \to \infty lim (2 + 3 x)

\infty

Solution steps

x \to \infty lim (2 + 3 x)

Apply Infinity Property:

x \to \infty lim (a x^{n} + \dots + b x + c) = \infty, a > 0,

n is odd

a = 3, n = 1

= \infty

x \to \infty lim (2^{x} - x)

x \to - 3 + lim (- \frac{x ^{2}}{3 x + 9})

x \to - 3 + lim (9 - x^{2})

h \to 0 lim (\frac{\frac{2 x + 2 h + 1}{2 - 3 x - 3 h} - \frac{2 x + 1}{2 - 3 x}}{h})

x \to 0 lim (\frac{5}{3 + e ^{\frac{1}{x}}})

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