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Iddifferenzja w.r.t. ε

1

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Evalwa

ϵ

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Kwizz

ε

Problemi Simili mit-Tiftix tal-Web

How to FIND the limit of a sequence with epsilon definition?

https://math.stackexchange.com/q/1012798

Note that for any

ϵ > 0

∣ x_{n} - 0 ∣ = ∣ ∣ ∣ ∣ \frac{n}{n + 1} - 0 ∣ ∣ ∣ ∣ < \frac{1}{n} < ϵ,

n > 1 / ϵ^{2} .

x_{n} \to 0

and a limit when it exists is ...

Determine this real integral with the Residue-theorem.

https://math.stackexchange.com/questions/1816923/determine-this-real-integral-with-the-residue-theorem

x^{4} - 6 x^{2} + 10

has no real zeros try to replace

sin x

e^{i x}

via the Euler formula and take only the imaginary part of it like

\int_{- \infty}^{\infty} \frac{s i n x}{x ^{4} - 6 x ^{2} + 1 0} d x = I m (\int_{- \infty}^{\infty} \frac{e ^{i x}}{x ^{4} - 6 x ^{2} + 1 0} d x)

Uniform convergence on subintervals

https://math.stackexchange.com/questions/1967831/uniform-convergence-on-subintervals

The first statement does not prove the second. Take

f_{n} (x) = x^{n}

then it converges uniformly in

{0, 1}

but it does not converge uniformly in

[0, 1]

. As regards a proof of the first and the second ...

How to find tangent cone in singular point?

https://math.stackexchange.com/q/973623

Each equivalence class can be identified with the initial velocity vector

f^{'} (0 +)

f

makes into the surface, the vector

v = f^{'} (0 +)

has the property that

d i s t (p + t v, S) = o (t)

n \to \infty lim \frac{1}{n} k = 0 \sum n - 1 e^{i k^{2}} = 0

https://math.stackexchange.com/questions/1637667/show-that-lim-limits-n-to-infty-frac1n-sum-limits-k-0n-1eik2-0

Gauss sums Your sum is strongly related to the Gauss sum . The usual trick is to compute the modulus. This works particularly smoothly over

Z / p Z

as with usual Gauss sums, but ...

Path-connectedness of a certain set of invertible complex matrices

https://math.stackexchange.com/questions/1166072/path-connectedness-of-a-certain-set-of-invertible-complex-matrices

For the operator norm (spectral norm), the answer is affirmative and an explicit construction is possible. Proposition. Let

∥ \cdot ∥

denotes the operator norm. Suppose

0 < ε < 1 \leq N

u \in G L_{n} (C)

Sehem

Ikkupjat fuq il-klibbord

\epsilon ^{1-1}

Id-derivattiv ta' ax^{n} huwa nax^{n-1}.

\epsilon ^{0}

Naqqas 1 minn 1.

1

Għal kwalunkwe terminu t ħlief 0, t^{0}=1.

Eżempji

Ekwazzjoni kwadratika

x^{2} - 4 x - 5 = 0

4 sin θ cos θ = 2 sin θ

Ekwazzjoni lineari

y = 3 x + 4

699 * 533

[2534] [2 - 1 0135]

Ekwazzjoni simultanja

{8 x + 2 y = 46 7 x + 3 y = 47

Differenzazzjoni

\frac{d}{d x} \frac{( 3 x ^{2} - 2 )}{( x - 5 )}

\int_{0}^{1} x e^{- x^{2}} d x

x \to - 3 lim \frac{x ^{2} - 9}{x ^{2} + 2 x - 3}