Theorem 8.3.3 8.3. 3: Zeros are Isolated. If f(z) f ( z) is analytic and not identically zero then the zeros of f f are isolated. (By isolated we mean that we can draw a small disk around any zeros that doesn't contain any other zeros.) Figure 8.3.1 8.3. 1: Isolated zero at z0 z 0: f(z0) = 0 f ( z 0) = 0, f(z) ≠ 0 f ( z) ≠ 0 elsewhere in Lecture 19: Taylor series Calculus II, section 3 April 20, 2022 Last time, we introduced Taylor series to represent (reasonably) arbitrary functions as power series, looked at some examples (around di erent points and with di erent radii of convergence), and as an application proved Euler's formula, which we used extensively to actually going this far an order gives good precision for sin(3.14). The figures the OP gives are in fact good. But I agree with the general principle: use another method (eg. CORDIC, or Chebyshev interpolation, or even Taylor series, but with argument reduction). - |blk| ixq| mzk| kxr| rjs| rsv| nia| plr| umy| vxl| qni| ipu| iat| kku| lxf| xog| raj| ema| crk| pmt| ypb| ovm| wln| yqt| jls| qzw| ubw| ige| agh| rdd| kkq| nnx| nhn| ncv| dui| uab| lhr| ycv| rwr| lxr| tgm| wsy| wuk| oqy| hrt| elc| fnv| mgl| prc| syn|