What is the limit as x approaches 2 of log_{2}(x) ?

The limit as x approaches 2 of log_{2}(x) is 1

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limit as x approaches 2 of log_{2}(x)

x \to 2 lim (lo g_{2} (x))

1

Solution steps

x \to 2 lim (lo g_{2} (x))

Plug in the value

x = 2

= lo g_{2} (2)

Apply log rule:

lo g_{a} (a) = 1

= 1

h \to 0 lim (\frac{1}{h} [(1 + h)^{3} - 1])

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

x \to 0 + lim (\frac{x}{e ^{- \frac{9}{x}}})

x \to 0 + lim (tan (x^{x}))

x \to 1 lim ((x^{2} - 4) (x - 3))

What is the limit as x approaches 2 of log_{2}(x) ?
The limit as x approaches 2 of log_{2}(x) is 1