Let t denote the greatest integer ≤ t and lim x → 0 ⁡ x 4 x = A . Then the function, f x = x 2 sin ⁡ π x is discontinuous, when x is equal to:

Question

Let t denote the greatest integer ≤ t and lim x → 0 ⁡ x 4 x = A . Then the function, f x = x 2 sin ⁡ π x is discontinuous, when x is equal to:, A + 1, A + 5, A + 21, A

MARKS App · Accepted Answer

log x → 0 ⁡ 4 x - 4 x = A ⇒ log x → O ⁡ 4 - x 4 x = A ⇒ 4 - 0 ⇒ A = 4 Hence, for 5 , f x is discontinuous as it is an non-integral value.

Search any question & find its solution

Looking for more such questions to practice?