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Question
The function `f(x) = (x^2 - 25)/(x + 5)` is continuous at x =
Options
– 5
x ∈ R
x ∈ R – |– 5|
None of these
MCQ
Solution
x ∈ R – |– 5|
Explanation:
At `x` = – 5, function f is not defined
∴ `f` is discontinuous at `x` = – 5
At `x = c ≠ - 5`
`lim_(x -> 0) f(x) = lim_(x -> 0) (x^2 - 25)/(x + 5)` = – 5
And `f(0)` = 0 – 5
∴ `f` is continous for all x ∈ R – |– 5|
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