What is the limit as x approaches infinity of 5ln(x) ?

The limit as x approaches infinity of 5ln(x) is infinity

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limit as x approaches infinity of 5ln(x)

x \to \infty lim (5 ln (x))

\infty

Solution steps

x \to \infty lim (5 ln (x))

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= 5 \cdot x \to \infty lim (ln (x))

Apply the common limit:

x \to \infty lim (ln (x)) = \infty

= 5 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

x \to 2 lim (x^{2} + x + 1)

x \to 3 + lim ((3 - x) ln (x - 3))

x \to \infty lim (- x + 1)

x \to 0 lim (1 - ln (x))

x \to 0 lim (\frac{tan ( k ) x}{x})

What is the limit as x approaches infinity of 5ln(x) ?
The limit as x approaches infinity of 5ln(x) is infinity