What is the limit as x approaches a of (f(x))^{g(x)} ?

The limit as x approaches a of (f(x))^{g(x)} is f(a)^{g(a)}

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limit as x approaches a of (f(x))^{g(x)}

x \to a lim ((f (x))^{g (x)})

f (a)^{g (a)}

Solution steps

x \to a lim (f (x)^{g (x)})

Plug in the value

x = a

, assuming the function is continuous at this point

= f (a)^{g (a)}

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