What is the limit as x approaches 0 of f(x)(x+1) ?

The limit as x approaches 0 of f(x)(x+1) is f(0)

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limit as x approaches 0 of f(x)(x+1)

x \to 0 lim (f (x) (x + 1))

f (0)

Solution steps

x \to 0 lim (f (x) (x + 1))

Plug in the value

x = 0

, assuming the function is continuous at this point

= f (0) (0 + 1)

Simplify

= f (0)

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What is the limit as x approaches 0 of f(x)(x+1) ?
The limit as x approaches 0 of f(x)(x+1) is f(0)