What is the limit as x approaches 1 of sqrt(3+f(x)) ?

The limit as x approaches 1 of sqrt(3+f(x)) is sqrt(3+f(1))

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limit as x approaches 1 of sqrt(3+f(x))

x \to 1 lim (3 + f (x))

3 + f (1)

Solution steps

x \to 1 lim (3 + f (x))

Plug in the value

x = 1

, assuming the function is continuous at this point

= 3 + f (1)

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What is the limit as x approaches 1 of sqrt(3+f(x)) ?
The limit as x approaches 1 of sqrt(3+f(x)) is sqrt(3+f(1))