The value of lim x → 0 ⁡ 1 + 6 x 1 3 - 1 + 4 x 1 2 x 2 is equal to

Question

The value of lim x → 0 ⁡ 1 + 6 x 1 3 - 1 + 4 x 1 2 x 2 is equal to, 1, 2, - 1, - 2

MARKS App · Accepted Answer

Using binomial expansion, the given limit becomes lim x → 0 1 + 2 x + 1 3 1 3 − 1 2 ! ⋅ 36 x 2 + … − 1 + 2 x + 1 2 1 2 − 1 2 ! ⋅ 16 x 2 + … x 2 = lim x → 0 ⁡ 2 - 4 x 2 + … x 2 = - 2

Search any question & find its solution

Looking for more such questions to practice?