Let f_{\p}(\\alpha)=e^{{i a}/{\p^{2}}} \.e^{{2 \/ \\alpha}/{p^{2}}} \......e^{\frac{i a}{p}} p \\in N (where i=\\sqrt{-1}, then find the value of |\lim↙ {n \\to\infty} f_{n}(\\pi) |

JEE Advanced 2021 Full Test 2 Paper 1

SECTION – C (Numerical Answer Type)
This section contains 06 questions. The answer to each question is a NUMERICAL VALUE. For each question, enter the correct numerical value (in decimal notation, truncated/rounded‐off to the second decimal place; e.g. XXXXX.XX).

Question : 54 of 54

Marks: +1, -0

Let fp(α)=e

2∕α

......e

p∈N (where i=√−1, then find the value of |

lim

n→∞

fn(π)|

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