(x² + 4 ax-5a²) /(x-a)
Lim
x-> a
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Answer:
6a
Step-by-step explanation:
Solve (x^2 + 4ax - 5a^2)/(x - a) first:
⇒ (x^2 + 4ax - 5a^2)/(x - a)
⇒ (x^2 + 5ax - ax - 5a^2)/(x - a)
⇒ [x(x + 5a) - a(a + 5a)]/(x - a)
⇒ (x + 5a)(x - a)/(x - a)
⇒ x + 5a
Hence,
Lt x + 5a ⇒ a + 5a = 6a
x⇒a
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