What is the limit as x approaches 1 of (f(x))x^2-2x ?

The limit as x approaches 1 of (f(x))x^2-2x is f(1)-2

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limit as x approaches 1 of (f(x))x^2-2x

x \to 1 lim ((f (x)) x^{2} - 2 x)

f (1) - 2

Solution steps

x \to 1 lim (f (x) x^{2} - 2 x)

Plug in the value

x = 1

, assuming the function is continuous at this point

= f (1) \cdot 1^{2} - 2 \cdot 1

Simplify

= f (1) - 2

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