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प्रश्न
Examine the continuity of the function f(x) = 2x2 – 1 at x = 3.
उत्तर
`f(x) = 2x^2 - 1`
At x = 3,
`lim_(x -> 3) f(x) = lim_(x -> 3) (2x^2 - 1)`
`= 2 xx (3)^2 - 1`
= 17
`f(3) = 2 xx (3)^2 - 1 = 17`
`lim_(x -> 3) f(x) = f(3)`
Hence f is continuous at x = 3.
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