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Taylor Series in C

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In this repository you'll find code and executables of C programmed Taylor Series for a lot of mathematical functions and some constants.

  1. $ln(2)$
  2. $\frac{\pi}{4}$
  3. $\frac{\pi^2}{6}$
  4. $\frac{\pi^2}{8}$
  5. $\frac{1}{2}$
  6. $\frac{3}{4}$
  7. $e^x$
  8. $xe^x$
  9. $(x+x^2)e^x$
  10. $ln(1+x), -1 < x \leq 1$
  11. $\frac{1}{2}ln(\frac{1+x}{1-x}), -1 < x < 1$
  12. $ln(x), x > 0$
  13. $ln(x), x \geq \frac{1}{2}$
  14. $(1+x)^\alpha$
  15. $a^x$
  16. $B_k = -\sum_{i=0}^{k-1} \binom{k}{i} \frac{B_i}{k+1-i}$
  17. $E_k = \frac{2^{2k+2}}{\pi^{2k+1}}\left\lbrace1-\frac{1}{3^{2k+1}}+\frac{1}{5^{2k+1}}\right\rbrace$
  18. $E_{2k} = i\sum_{m=1}^{2k+1} \sum_{j=0}^{m} \binom{m}{j} \frac{(-1)^j (m-2j)^{2k+1}}{2^m i^m m}$
  19. $\sin(x)$
  20. $\cos(x)$
  21. $\tan(x)$
  22. $\sec(x)$
  23. $\csc(x)$
  24. $\sinh(x)$
  25. $\cosh(x)$
  26. $\tanh(x)$
  27. $\sinh^{-1}(x)$
  28. $\tanh^{-1}(x)$
  29. $\frac{ln(1+x)}{1+x}$
  30. $e^{\sin(x)}$

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