Question

Typical Calculus problem on Taylor polynomials seems contrived

score 80 · Answer 1 · 2016-09-07 16:30:01

80

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Typical Calculus problem on Taylor polynomials seems contrived

Published on 07 Sep 2016 - 16:30

score 1.3k · Answer 2 · 2016-09-08 10:36:50

1.3k

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Calculate: $\frac{1}{2! \cdot 2} + \frac{1}{4! \cdot 4} + \frac{1}{6! \cdot 8} + \frac{1}{8! \cdot 16} + ...$

Published on 08 Sep 2016 - 10:36

score 559 · Answer 3 · 2016-09-08 13:25:09

559

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For small values of $x$, how good is the approximation $cos(x)\approx 1$

Published on 08 Sep 2016 - 13:25

score 353 · Answer 4 · 2016-09-09 13:55:42

353

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Taylor (or Laurent) Expansion of $f(z)=(1-z^{-1})^\alpha$

Published on 09 Sep 2016 - 13:55

score 44 · Answer 5 · 2026-04-11 23:01:24

44

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Is this formula regarding rate of change and logs exact or an approximation?

Published on 11 Apr 2026 - 23:01

score 128 · Answer 6 · 2016-09-09 18:28:30

128

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Taylor series of $g(x)=f(cx)$, $c \in \mathbb{R}$?

Published on 09 Sep 2016 - 18:28

score 77 · Answer 7 · 2026-04-03 20:35:29

77

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Find the Taylor expansion of $f(x-yh)$

Published on 03 Apr 2026 - 20:35

score 109 · Answer 8 · 2026-04-12 05:50:35

109

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Maclaurin series for $f(x)=e^x$ proof

Published on 12 Apr 2026 - 5:50

score 32 · Answer 9 · 2026-04-11 23:01:28

32

Views

Taylor polynomial of an integral?

Published on 11 Apr 2026 - 23:01

score 178 · Answer 10 · 2016-09-11 16:20:59

178

Views

Proof of an alternative form of Taylor's approximation

Published on 11 Sep 2016 - 16:20

score 5.3k · Answer 11 · 2026-04-12 09:35:30

5.3k

Views

Taylor's polynomial uniqueness proof - why are these limits inferable?

Published on 12 Apr 2026 - 9:35

score 266 · Answer 12 · 2026-04-12 08:31:09

266

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using mean value theorem to approximate a curve?

Published on 12 Apr 2026 - 8:31

score 16.4k · Answer 13 · 2016-09-12 12:12:20

16.4k

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Function $f(x) = \frac{1}{\sqrt{1 -x}}$ in series representation.

Published on 12 Sep 2016 - 12:12

score 268 · Answer 14 · 2026-04-10 22:54:51

268

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Is it possible to find the Taylor series of an integral where the upper limit depends on the variable?

Published on 10 Apr 2026 - 22:54

score 152 · Answer 15 · 2026-03-28 22:26:36

152

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Approximation $\frac{\mathrm{d} x}{x+\mathrm{d} x} \approx \frac{\mathrm{d}x}{x} $?

Published on 28 Mar 2026 - 22:26

List Question

Typical Calculus problem on Taylor polynomials seems contrived

Calculate: $\frac{1}{2! \cdot 2} + \frac{1}{4! \cdot 4} + \frac{1}{6! \cdot 8} + \frac{1}{8! \cdot 16} + ...$

For small values of $x$, how good is the approximation $cos(x)\approx 1$

Taylor (or Laurent) Expansion of $f(z)=(1-z^{-1})^\alpha$

Is this formula regarding rate of change and logs exact or an approximation?

Taylor series of $g(x)=f(cx)$, $c \in \mathbb{R}$?

Find the Taylor expansion of $f(x-yh)$

Maclaurin series for $f(x)=e^x$ proof

Taylor polynomial of an integral?

Proof of an alternative form of Taylor's approximation

Taylor's polynomial uniqueness proof - why are these limits inferable?

using mean value theorem to approximate a curve?

Function $f(x) = \frac{1}{\sqrt{1 -x}}$ in series representation.

Is it possible to find the Taylor series of an integral where the upper limit depends on the variable?

Approximation $\frac{\mathrm{d} x}{x+\mathrm{d} x} \approx \frac{\mathrm{d}x}{x} $?

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