Question

Prove using induction that $(2^n)+1<3^n$ for all natural numbers, $n>=2$

score 73 · Answer 1 · 2026-04-15 13:55:22

73

Views

Prove using induction that $(2^n)+1<3^n$ for all natural numbers, $n>=2$

Published on 15 Apr 2026 - 13:55

score 208 · Answer 2 · 2026-04-15 05:37:12

208

Views

Proving Bezout's Identity with Cosets of $\Bbb{Z}$

Published on 15 Apr 2026 - 5:37

score 88 · Answer 3 · 2026-04-16 05:13:43

88

Views

Estimating $\int_0^1 x^{2n}(1-2x)^{2n}e^xdx$

Published on 16 Apr 2026 - 5:13

score 239 · Answer 4 · 2026-04-15 16:17:42

239

Views

Product of 2 graphs

Published on 15 Apr 2026 - 16:17

score 41 · Answer 5 · 2026-04-13 23:22:29

41

Views

Finding a series for $f(z)=\frac{2}{(z+2)^2}$

Published on 13 Apr 2026 - 23:22

score 348 · Answer 6 · 2026-04-17 03:52:48

348

Views

Find all accumulation points of the set whose elements in form $2^{-n}+5^{-m}, m,n\in\mathbb N^+$

Published on 17 Apr 2026 - 3:52

score 281 · Answer 7 · 2026-04-12 13:23:36

281

Views

Is dihedral group defined as following commutative?

Published on 12 Apr 2026 - 13:23

score 155 · Answer 8 · 2026-04-17 10:14:26

155

Views

Proof verification of if $\{x_n\}$ is monotone then $\{y_n\} = {1\over x_1 + x_2 + \dots + x_n}$ is monotone

Published on 17 Apr 2026 - 10:14

score 90 · Answer 9 · 2026-04-13 00:03:35

90

Views

Sequence of bounded sequences converge uniformly to bounded function

Published on 13 Apr 2026 - 0:03

score 59 · Answer 10 · 2026-04-15 16:34:25

59

Views

Find $y'$ where $y=\ln(x+\sqrt{a^2+x^2}).$

Published on 15 Apr 2026 - 16:34

score 133 · Answer 11 · 2026-04-14 22:32:55

133

Views

If maximum of an ordered, set exists, this is equal to the supremum.

Published on 14 Apr 2026 - 22:32

score 53 · Answer 12 · 2026-04-14 22:43:40

53

Views

Proof verification of $\{x_n\} = \left(1 + {1\over 2n}\right)^n$ is an increasing sequence.

Published on 14 Apr 2026 - 22:43

score 123 · Answer 13 · 2026-04-14 07:46:29

123

Views

Proof that a square quadratic discriminant implies that integers suffice for factorisation

Published on 14 Apr 2026 - 7:46

score 2.9k · Answer 14 · 2026-04-12 10:35:14

2.9k

Views

Prove that if f is continous on R and the limit as x approaches infinity and negative infinity is infinity, then f obtains its minimum value in R?

Published on 12 Apr 2026 - 10:35

score 460 · Answer 15 · 2026-04-13 21:03:49

460

Views

Integral of the difference of two identity functions

Published on 13 Apr 2026 - 21:03

List Question

Prove using induction that $(2^n)+1<3^n$ for all natural numbers, $n>=2$

Proving Bezout's Identity with Cosets of $\Bbb{Z}$

Estimating $\int_0^1 x^{2n}(1-2x)^{2n}e^xdx$

Product of 2 graphs

Finding a series for $f(z)=\frac{2}{(z+2)^2}$

Find all accumulation points of the set whose elements in form $2^{-n}+5^{-m}, m,n\in\mathbb N^+$

Is dihedral group defined as following commutative?

Proof verification of if $\{x_n\}$ is monotone then $\{y_n\} = {1\over x_1 + x_2 + \dots + x_n}$ is monotone

Sequence of bounded sequences converge uniformly to bounded function

Find $y'$ where $y=\ln(x+\sqrt{a^2+x^2}).$

If maximum of an ordered, set exists, this is equal to the supremum.

Proof verification of $\{x_n\} = \left(1 + {1\over 2n}\right)^n$ is an increasing sequence.

Proof that a square quadratic discriminant implies that integers suffice for factorisation

Prove that if f is continous on R and the limit as x approaches infinity and negative infinity is infinity, then f obtains its minimum value in R?

Integral of the difference of two identity functions

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