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Limits, Continuity and Differentiability

Section: Mathematics
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Question : 12 of 51
 
Marks: +1, -0
Let α be a positive real number. Let f:ℝ→ℝ and g:(α,∞)→ℝ be the functions defined by
f(x)=sin(‌
πx
12
)‌ and ‌g(x)=‌
2loge(√x−√α)
loge(e√x−e√α)

Then the value of
lim
x→α+
f(g(x)) is
[JEE Adv 2022 P1]
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