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常见麦克劳林公式大全_wrapper_wrapper

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常见麦克劳林公式大全_wrapper_wrapperfoxit打字机http://editor.foxitsoftware.cnfoxit打字机http://editor.foxitsoftware.cn2ex=1Xn=01n!xn=1+x+12!x2+���+1n!xn+���;x2(�1;+1)esinx=1+x+12x2�18x4�115x5�1240x6+190x7+315760x8+15670x9+o�x9�etanx=1+x+12x2+12x3+38x4+37120x5+59240x6+137720x7+8715760x8+41641362880x9+o...

常见麦克劳林公式大全_wrapper_wrapper
foxit打字机http://editor.foxitsoftware.cnfoxit打字机http://editor.foxitsoftware.cn2ex=1Xn=01n!xn=1+x+12!x2+���+1n!xn+���;x2(�1;+1)esinx=1+x+12x2�18x4�115x5�1240x6+190x7+315760x8+15670x9+o�x9�etanx=1+x+12x2+12x3+38x4+37120x5+59240x6+137720x7+8715760x8+41641362880x9+o�x9�sinx=1Xn=0(�1)n(2n+1)!x2n+1=x�13!x3+15!x5����+(�1)n(2n+1)!x2n+1+���;x2(�1;+1)cosx=1Xn=0(�1)n(2n)!x2n=1�12!x2+14!x4����+(�1)n(2n)!x2n+���;x2(�1;+1)ln(1+x)=1Xn=0(�1)nn+1xn+1=x�12x2+13x3����+(�1)nn+1xn+1+���;x2(�1;1]ln1+x1�x‹=1Xn=12x2n�12n�1=2x+23x3+25x5+27x7+29x9+o(x9);x2(�1;1)11�x=1Xn=0xn=1+x+x2+x3+���+xn+���;x2(�1;1)(1+x)12=1+12x�18x2+116x3�5128x4+7256x5�211024x6+332048x7�42932768x8+o(x8);x2(�1;1)(1+x)�12=1�12x+38x2�516x3+35128x4�63256x5+2311024x6�4292048x7+643532768x8�1215565536x9+o(x9);x2(�1;1)(1+x)13=1+13x�19x2+581x3�10243x4+22729x5�1546561x6+37419683x7�93559049x8+o�x8�;x2(�1;1)(1+x)�13=1�13x+29x2�1481x3+35243x4�91729x5+7286561x6�197619683x7+545359049x8�1358501594323x9+o�x9�;x2(�1;1)(1+x)32=1+32x+38x2�116x3+3128x4�3256x5+71024x6�92048x7+9932768x8�14365536x9+o�x9�;x2(�1;1)(1+x)�32=1�32x+158x2�3516x3+315128x4�693256x5+30031024x6�64352048x7+10939532768x8�23094565536x9+o(x9);x2(�1;1)(1+x)�2=1�2x+3x2�4x3+5x4�6x5+7x6�8x7+9x8�10x9+o(x9);x2(�1;1)tanx=1Xn=1B2n(�4)n(1�4n)(2n)!x2n�1=x+13x3+215x5+17315x7+���+(�1)n�122n(22n�1)B2n(2n)!x2n�1+���‚x2<�24Œsecx=1Xn=0(�1)nE2nx2n(2n)!=1+12x2+524x4+61720x6+2778064x8+o(x8)arctanx=1Xn=0(�1)n2n+1x2n+1=x�13x3+15x5+���+(�1)n2n+1x2n+1+���;x2[�1;1]arcsinx=1Xn=0(2n)!4n(n!)2(2n+1)x2n+1=x+16x3+340x5+5112x7+351152x9+o(x9);x2(�1;1)sinhx=1Xn=0x2n+1(2n+1)!=x+x33!+x55!+x77!+���+x2n+1(2n+1)!+���coshx=1Xn=0x2n(2n)!=1+x22!+x44!+x66!+���+x2n(2n)!+���tanhx=1Xn=122n(22n�1)B2nx2n�1(2n)!=x�13x3+215x5�17315x7+622835x9+o(x9);jxj<�2sechx=1Xn=0E2nx2n(2n)!=1�12x2+524x4�61720x6+138540320x8����+E2n(2n)!x2n+���;(jxj<�2)arsinhx=1Xn=0‚(�1)n(2n)!22n(n!)2Œx2n+1(2n+1)=x�16x3+340x5�5112x7+351152x9+o(x9);jxj<1artanhx=1Xn=0x2n+12n+1=x+x33+x55+x77+���+x2n+12n+1+���;(jxj<1)3(1+x)�=1+1Xn=1�(��1)���(��n+1)n!xn=1+�x+�(��1)2!x2+���+�(��1):::(��n+1)n!xn+���;x2(�1;1)earcsinx=1+x+12x2+13x3+524x4+16x5+17144x6+13126x7+6298064x8+3254326x9+8177145152x10+o(x10)earctanx=1+x+12x2�16x3�724x4+124x5+29144x6�11008x7�12198064x8�116372576x9+17321145152x10+o(x10)eex=e+ex+ex2+5e6x3+5e8x4+13e30x5+203e720x6+877e5040x7+23e244x8+1007e17280x9+4639e145152x10+o(x10)lnsinx=lnx�16x2�1180x4�12835x6�137800x8+���+(�1)n22n�1B2nn(2n)!x2n+���;0<x2<�2lncosx=�12x2�112x4�145x6�172520x8�3114175x10+���+(�1)n22n�1(22n�1�1)B2nn(2n)!x2n+���;x2<�24lntanx=lnx+13x2+790x4+622835x6+12718900x8+���+(�1)n�122n(22n�1�1)B2nn(2n)!x2n+���;0<x2<�24cscx=1Xn=0(�1)n+12(22n�1�1)B2n(2n)!x2n�1=1x+16x+7360x3+3115120x5+127604800x7+o(x7);x2(0;�)cotx=1Xn=0(�1)n22nB2n(2n)!x2n�1=1x�13x�145x3�2945x5�14725x7+o(x7);x2(0;�)cothx=1Xn=022nB2n(2n)!x2n�1=1x+13x�145x3+2945x5����+22nB2n(2n)!x2n�1����;(0<jxj<�)cschx=1Xn=02(22n�1�1)B2n(2n)!x2n�1=1x�16x+7360x3�3115120x5+127604800x7+o(x7);x2(0;�)arcoshx=ln2x�1Xn=1‚(�1)n(2n)!22n(n!)2Œx�2n2n=ln2x�‚14x�2+332x�4+15288x�6+���+‚(�1)n(2n)!22n(n!)2Œx�2n2n+���Œ;jxj>1arccosx=�2�1Xn=0(2n)!4n(n!)2(2n+1)x2n+1=�2�•x+16x3+340x5+5112x7+351152x9+o(x9)˜;arccotx=�2�1Xn=0(�1)n2n+1x2n+1=�2�–x�13x3+15x5+���+(�1)n2n+1x2n+1+���™;�x2<1�arcothx=1x+13x3+15x5+17x7+���+1(2n+1)x2n�1+���;x2(jxj>1)sin(sinx)=x�13x3+110x5�8315x7+132520x9�4749896x11+o(x11)sin(tanx)=x+16x3�140x5�551008x7�1433456x9�96816739916800x11+o(x11)sin(sinhx)=x�115x5�190x7+15670x9+13150x11+o(x11)sin(arctanx)=x�12x3+38x5�516x7+35128x9�63256x11+o(x11)tan(tanx)=x+23x3+35x5+181315x7+59105x9+34556237x11+o(x11)tan(sinx)=x+16x3�140x5�1075040x7�7324192x9+4189739916800x11+o(x11)tan(arcsinx)=x+12x3+38x5+516x7+35128x9+63256x11+o(x11)
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