Question

Calculate $e^{i \pi}$ and $ e^{i \pi /2}$ given that $2 \pi$ is the smallest real $>0$ such that $e^{2\pi i} = 1$.

score 339 · Answer 1 · 2016-12-10 01:46:24

339

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Calculate $e^{i \pi}$ and $ e^{i \pi /2}$ given that $2 \pi$ is the smallest real $>0$ such that $e^{2\pi i} = 1$.

Published on 10 Dec 2016 - 1:46

score 89 · Answer 2 · 2026-04-11 21:30:36

89

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Prove the equality using binomial theorem

Published on 11 Apr 2026 - 21:30

score 1.8k · Answer 3 · 2016-12-13 04:16:03

1.8k

Views

Prove that if lim f(x) = L1 and lim g(x) = L2, then lim (f(x))^(g(x)) = L1^L2

Published on 13 Dec 2016 - 4:16

score 467 · Answer 4 · 2016-12-13 10:41:58

467

Views

A possible relationship between prime numbers and exponential/polynomial functions

Published on 13 Dec 2016 - 10:41

score 52 · Answer 5 · 2026-04-12 22:05:09

52

Views

Number of solutions to these equations using algebraic ways

Published on 12 Apr 2026 - 22:05

score 182 · Answer 6 · 2026-04-05 23:07:34

182

Views

Minimum value of $2^{2x}+6\cdot 2^x +18$

Published on 05 Apr 2026 - 23:07

score 296 · Answer 7 · 2016-12-13 17:09:15

296

Views

Exponential equation: $(3-2\sqrt2)^x + (3+2\sqrt2)^x = 6$

Published on 13 Dec 2016 - 17:09

score 37 · Answer 8 · 2026-04-11 21:02:35

37

Views

How many solutions does this recursive system have?

Published on 11 Apr 2026 - 21:02

score 95 · Answer 9 · 2016-12-14 13:13:48

95

Views

How can I evaluate $\int e^u \; u \; \sqrt{\ln \frac{1}{u}\,} \; \mathrm{d}u$?

Published on 14 Dec 2016 - 13:13

score 20.7k · Answer 10 · 2026-04-12 21:59:37

20.7k

Views

How to find the value of an unknown exponent?

Published on 12 Apr 2026 - 21:59

score 188 · Answer 11 · 2026-03-25 20:15:59

188

Views

Solve algebraically: $e^x =e^{-x}$

Published on 25 Mar 2026 - 20:15

score 41 · Answer 12 · 2026-04-12 09:15:25

41

Views

Can I definite integral of $ \frac{e^{mx}}{x} dx $?

Published on 12 Apr 2026 - 9:15

score 93 · Answer 13 · 2016-12-15 18:19:13

93

Views

How do you solve the equation $\frac{1}{4}(8^{2x+1})+5\cdot8^x - 3 = 0$?

Published on 15 Dec 2016 - 18:19

score 2.8k · Answer 14 · 2026-03-30 05:28:42

2.8k

Views

Inverse of Exponential Integral funtion?

Published on 30 Mar 2026 - 5:28

score 1.9k · Answer 15 · 2026-04-03 01:30:57

1.9k

Views

Which one of the following functions dominates the other one?

Published on 03 Apr 2026 - 1:30

List Question

Calculate $e^{i \pi}$ and $ e^{i \pi /2}$ given that $2 \pi$ is the smallest real $>0$ such that $e^{2\pi i} = 1$.

Prove the equality using binomial theorem

Prove that if lim f(x) = L1 and lim g(x) = L2, then lim (f(x))^(g(x)) = L1^L2

A possible relationship between prime numbers and exponential/polynomial functions

Number of solutions to these equations using algebraic ways

Minimum value of $2^{2x}+6\cdot 2^x +18$

Exponential equation: $(3-2\sqrt2)^x + (3+2\sqrt2)^x = 6$

How many solutions does this recursive system have?

How can I evaluate $\int e^u \; u \; \sqrt{\ln \frac{1}{u}\,} \; \mathrm{d}u$?

How to find the value of an unknown exponent?

Solve algebraically: $e^x =e^{-x}$

Can I definite integral of $ \frac{e^{mx}}{x} dx $?

How do you solve the equation $\frac{1}{4}(8^{2x+1})+5\cdot8^x - 3 = 0$?

Inverse of Exponential Integral funtion?

Which one of the following functions dominates the other one?

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