What is the limit as w approaches a of (a^2-w^2)/(a-w) ?

The limit as w approaches a of (a^2-w^2)/(a-w) is 2a

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limit as w approaches a of (a^2-w^2)/(a-w)

w \to a lim (\frac{a ^{2} - w ^{2}}{a - w})

2 a

Solution steps

w \to a lim (\frac{a ^{2} - w ^{2}}{a - w})

Simplify

\frac{a ^{2} - w ^{2}}{a - w} : a + w

= w \to a lim (a + w)

Plug in the value

w = a

, assuming the function is continuous at this point

= a + a

Simplify

= 2 a

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What is the limit as w approaches a of (a^2-w^2)/(a-w) ?
The limit as w approaches a of (a^2-w^2)/(a-w) is 2a