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

The limit as x approaches 1-of (x-1)^2f(x) is 0

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

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

0

Solution steps

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

Plug in the value

x = 1

, assuming the function is continuous at this point

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

Simplify

= 0

cot (x^{7})

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\frac{d}{d x} (π)

2 t \frac{d y}{d t} - 2 y = t

What is the limit as x approaches 1-of (x-1)^2f(x) ?
The limit as x approaches 1-of (x-1)^2f(x) is 0