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| | Taylor series - Wikipedia, the free encyclopedia |
 | | If this series converges for every x in the interval (a − r, a + r) and the sum is equal to f(x), then the function f(x) is called analytic. |
 | | He found a number of special cases of the Taylor series, including the Taylor series for the trigonometric functions of sine, cosine, tangent and arctangent, and the second-order Taylor series approximations of the sine and cosine functions, which he extended to the third-order Taylor series approximation of the sine function. |
 | | The Taylor series, power series, and infinite series expansions of functions were first discovered in India by Madhava in the 14th century. |
| en.wikipedia.org /wiki/Taylor_series (1058 words) |
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