What is the limit as x approaches 4 of log_{x}(x) ?

The limit as x approaches 4 of log_{x}(x) is 1

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limit as x approaches 4 of log_{x}(x)

x \to 4 lim (lo g_{x} (x))

1

Solution steps

x \to 4 lim (lo g_{x} (x))

Plug in the value

x = 4

= lo g_{4} (4)

Apply log rule:

lo g_{a} (a) = 1

= 1

x \to 0 lim (\frac{x ^{3} - 2 x}{2 x})

n \to \infty lim (k^{n})

x \to 0 + lim (4 (\frac{1}{x} - cot (x)))

x \to c lim (4 g (x) - f (x))

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

What is the limit as x approaches 4 of log_{x}(x) ?
The limit as x approaches 4 of log_{x}(x) is 1