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Last updated 10:03 PM on 5/8/26
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8 Terms

1
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DL(0)DL(0) de (1+x)α\left(1+x\right)^{\alpha}

1+∑1≤k≤nΠ1≤k≤n(α−k+1)k!xk1+\sum_{1\le k\le n}\frac{\Pi_{1\le k\le n}(\alpha-k+1)}{k!}x^{k}

2
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DL(0)DL(0) de 11−x\frac{1}{1-x}

∑0≤k≤nxk\sum_{0\le k\le n}x^{k}

3
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DL(0)DL(0) de ln⁡(1+x)\ln\left(1+x\right)

∑1≤k≤n(−1)k+1xkk\sum_{1\le k\le n}\left(-1\right)^{k+1}\frac{x^{k}}{k}

4
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DL(0)DL(0) de exe^{x}

∑0≤k≤nxkk!\sum_{0\le k\le n}\frac{x^{k}}{k!}

5
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DL(0)DL(0) de sin⁡(x)\sin\left(x\right)

∑0≤k≤n(−1)kx2k+1(2k+1)!\sum_{0\le k\le n}\left(-1\right)^{k}\frac{x^{2k+1}}{\left(2k+1)\right.!}

6
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DL(0)DL(0) de cos⁡(x)\cos\left(x\right)

∑0≤k≤n(−1)kx2k(2k)!\sum_{0\le k\le n}\left(-1\right)^{k}\frac{x^{2k}}{\left(2k\right)!}

7
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DL(0)DL(0) de sh(x)sh\left(x\right)

∑0≤k≤nx2k+1(2k+1)!\sum_{0\le k\le n}\frac{x^{2k+1}}{\left(2k+1\right)!}

8
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DL(0)DL(0) de ch(x)ch(x)

∑0≤k≤nx2k(2k)!\sum_{0\le k\le n}\frac{x^{2k}}{\left(2k\right)!}