Show f(x) defined by f(x) = {((x2 - 25)/(x - 5) when x ≠ 5),(10,

1.	Show f(x) defined by f(x) = {((x2 - 25)/(x - 5) when x ≠ 5),(10, when x = 5) is continuous at x = 5
Answer» Also f(x) at x = 5 is 10; i.e, f(5) = 10 Here lim_(x→5) f(x) = f(5) = 10. ∴ the function f(x) is continuous at x = 5

Show f(x) defined by f(x) = {((x2 - 25)/(x - 5) when x ≠ 5),(10, when x = 5) is continuous at x = 5

Answer»

Also f(x) at x = 5 is 10; i.e, f(5) = 10

Here lim_(x→5) f(x) = f(5) = 10.

∴ the function f(x) is continuous at x = 5

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Show f(x) defined by f(x) = {((x2 - 25)/(x - 5) when x ≠ 5),(10, when x = 5) is continuous at x = 5

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