What is the limit as x approaches 2 of [1+f(x)]^2 ?

The limit as x approaches 2 of [1+f(x)]^2 is [1+f(2)]^2

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limit as x approaches 2 of [1+f(x)]^2

x \to 2 lim ([1 + f (x)]^{2})

[1 + f (2)]^{2}

Solution steps

x \to 2 lim ([1 + f (x)]^{2})

Plug in the value

x = 2

, assuming the function is continuous at this point

= [1 + f (2)]^{2}

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What is the limit as x approaches 2 of [1+f(x)]^2 ?
The limit as x approaches 2 of [1+f(x)]^2 is [1+f(2)]^2