What is the limit as x approaches 0 of 2x-p(x) ?

The limit as x approaches 0 of 2x-p(x) is -p(0)

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limit as x approaches 0 of 2x-p(x)

x \to 0 lim (2 x - p (x))

- p (0)

Solution steps

x \to 0 lim (2 x - p (x))

Plug in the value

x = 0

, assuming the function is continuous at this point

= 2 \cdot 0 - p (0)

Simplify

= - p (0)

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What is the limit as x approaches 0 of 2x-p(x) ?
The limit as x approaches 0 of 2x-p(x) is -p(0)