Limits, Continuity and Differentiability

Section: Mathematics

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Question : 7 of 51

Marks: +1, -0

Let S be the set of all (α,β)∈R×R such that

lim

x⟶∞

‌

sin‌(x2)(logex)αsin‌(

1

x2

)

xαβ(loge(1+x)β

=0
Then which of the following is (are) correct?

[JEE Adv 2024 P2]

(−1,3)∈S
(−1,1)∈S
(1,−1)∈S
(1,−2)∈S

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