What is the limit as x approaches 3 of 4^{f(x)} ?

The limit as x approaches 3 of 4^{f(x)} is 4^{f(3)}

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limit as x approaches 3 of 4^{f(x)}

x \to 3 lim (4^{f (x)})

4^{f (3)}

Solution steps

x \to 3 lim (4^{f (x)})

Plug in the value

x = 3

, assuming the function is continuous at this point

= 4^{f (3)}

\int_{1}^{2 x} \frac{y}{x} d x

\frac{d y}{d x}, x y = 2 y + x

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

\frac{d}{d x} (e^{- 3 x} (2 cos (2 x) - 3 sin (2 x)))

What is the limit as x approaches 3 of 4^{f(x)} ?
The limit as x approaches 3 of 4^{f(x)} is 4^{f(3)}