What is the limit as x approaches 2 of 3^x+ln(x-1) ?

The limit as x approaches 2 of 3^x+ln(x-1) is 9

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limit as x approaches 2 of 3^x+ln(x-1)

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

9

Solution steps

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

Plug in the value

x = 2

= 3^{2} + ln (2 - 1)

Simplify

3^{2} + ln (2 - 1) : 9

= 9

f (2) = \frac{4}{1 + x ^{2}}, at x = 1

t y^{^{'}} + 2 y = sin (t)

\int 6 x (2 x^{2} + 9)^{\frac{1}{2}} d x

\int \frac{cos ( x ) + sin ( x )}{sin ( 2 x )} d x

f^{^{'}} (x) = x^{4} + 3 x^{3} + 5 x^{2} + 2 x

What is the limit as x approaches 2 of 3^x+ln(x-1) ?
The limit as x approaches 2 of 3^x+ln(x-1) is 9