LET'S SOLVE GATE 2021 | COMPLEX ANALYSIS & CALCULUS | SORTED WITH QUESTION ID

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GATE 2021: TOTAL SELECTIONS: 196 (GATE 2021 AIR 5, AIR 11, AIR 13, ….)
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For more query and information please contact on this no. 9172266888/ 7387030918

IFASMaths
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Answer to the complex question is 11 becoz over region contains 11 zeroes of f(z)=e^z -2
Namely

log2-10πi, log2-8πi, log2-6πi, log2-4πi, log2-2πi, log2, log2+2πi, log2+4πi, log2+4πi, log2+6πi, log2+8πi, log2+10πi

Irfanmaths
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2 nd question ka explanation galat hai sir. Observe that z = ln 2 + i2kπ, k = 0, +-1, +- 2, +-3, +-4, +- 5 bhi pole hai

swarupbej
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Problem no :2
Correct ans is 11.
n =-5, -4, -3, ..., -1, 0, 1, ....4, 5

mathnerdk
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sir, answer will not 1, it will be 11 plz, check.

abhisekkumarjhapurneabihar
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Lekin sir x=0 pr to function ki value 0 hi diya h

deepikasaini
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Functional k solutions dal dijiye please

cut