What is the limit as x approaches 1 of 1/x+ln(x) ?

The limit as x approaches 1 of 1/x+ln(x) is 1

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limit as x approaches 1 of 1/x+ln(x)

x \to 1 lim (\frac{1}{x} + ln (x))

1

Solution steps

x \to 1 lim (\frac{1}{x} + ln (x))

Plug in the value

x = 1

= \frac{1}{1} + ln (1)

Simplify

\frac{1}{1} + ln (1) : 1

= 1

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x \to 3 lim (\frac{3 - x}{2 ^{x} - 8})

x \to 0 + lim (cos^{2} (x) + 1)

t \to \frac{π}{4} lim (\frac{sin ( t )}{t})

x \to 1 lim (\frac{x ^{2} + 1}{x + 6})

What is the limit as x approaches 1 of 1/x+ln(x) ?
The limit as x approaches 1 of 1/x+ln(x) is 1