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Sladkaya [172]
3 years ago
9

Question part points submissions used consider the following. g(x)={((x**2-a**2)/(x-a) text(if ) x != a,4 text(if ) x =

Mathematics
1 answer:
EastWind [94]3 years ago
4 0
For x\neq a, we have

\dfrac{x^2-a^2}{x-a}=\dfrac{(x-a)(x+a)}{x-a}=x+a

So for g(x) to be continuous at x=a, we require that the limit as x\to a is equal to 4.

\displaystyle\lim_{x\to a}g(x)=\lim_{x\to a}(x+a)=2a=4\implies a=2
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