matlab求极限tanx/x x->0 当x趋于0时求(x-tanx)/x的极限
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ezplot('tan(x)',[-10 10])hold allezplot('(x)',[-10 10])x=fsolve(@(x)x-tan(x),-10:pi:10);plot(x,tan(x),'ro')
\u5982\u56fe
1
解析：
(1) 用WA解题
(2) MATLAB无安卓版
绛旓細1瑙ｆ瀽锛(1) 鐢╓A瑙ｉ(2) MATLAB鏃犲畨鍗撶増
绛旓細ans = 1/2
绛旓細浠 = tan(x / 2)锛宒x = 2du / (1+u²)sinx = 2u / (1+u²)锛宑osx = (1 - u²) / (1 + u²)鈭 dx / (sinx + cosx)= 鈭 2 / 銆(1 + u²) * [2u / (1+u²) + (1 - u²) / (1 + u²)]銆 du= 2鈭 du ...
绛旓細绠鍗曞垎鏋愪竴涓嬶紝绛旀濡傚浘鎵绀
绛旓細濡傛灉x瓒嬩簬0閭ｄ箞鍙互鐢ㄦ礇蹇呰揪娉曞垯=limsinx/cosx=limtanx=0 鍚﹀垯鐩存帴涓夎鍑芥暟鍖栫畝锛=lim2sin²(x/2)/2sin(x/2)cos(x/2)=limtan(x/2)
绛旓細contact me [email protected] 2010-04-28 7:57:06 杩欎釜鏂圭▼鐨勮В浼拌涓嶅彧鏈変竴涓紝鍥犱负tanx鏄懆鏈熷嚱鏁帮紝鎴戜滑鍏堢粯鍥剧湅鐪嬪ぇ姒傛湁鍑犱釜瑙 >> fplot(@(x)tan(x)+2*x,[-100 100])>> fzero(@(x)tan(x)+2*x,rand)ans = -3.6476e-023 杩欎釜绗﹀彿鏄姹傝В涓嶅嚭鏉ョ殑 >> solve('tan(x)+2*x...
绛旓細by dynamic of Matlab鎶鏈鍧 % see also http://wwwmatlabskycom % contact me matlabsky@gmailcom % 2010-04-28 7:57:06 % 杩欎釜鏂圭▼鐨勮В浼拌涓嶅彧鏈変竴涓紝鍥犱负tanx鏄懆鏈熷嚱鏁帮紝鎴戜滑鍏堢粯鍥剧湅鐪嬪ぇ姒傛湁鍑犱釜瑙 >> fplot(@(x)tan(x)+2*x,[-100濡備綍鐢∕ATLAB瑙ｆ柟绋媡an(x) + 2*x = 0 ...
绛旓細鍥炬槸鍙互鐢诲嚭鏉ワ紝濡傛灉涓嶇粰x鐨勮寖鍥达紝瑙ｇ殑鏁伴噺鏄棤绌峰涓殑銆傜敾鍥惧懡浠わ細 syms x;ezplot('x+1-tan(x)')
绛旓細x)^2+2835)/cos(x)^10 y = 256*sin(x)*(2*cos(x)^8-510*cos(x)^6+6615*cos(x)^4-18900*cos(x)^2+14175)/cos(x)^11 y = -256*(4*cos(x)^10-2046*cos(x)^8+42240*cos(x)^6-197505*cos(x)^4+311850*cos(x)^2-155925)/cos(x)^12 鍙傝冭祫鏂欙細鐢∕ATLAB绠鐨!
绛旓細鎴戝彧璇存濊矾锛岀紪绋嬪緢绠鍗曠殑銆備护y1=tanx,y2=2x杩欎袱涓柟绋嬪湪浜岀淮鍧愭爣涓敾鍥撅紝涓や釜鍥惧儚鐨勪氦鐐瑰氨鏄粬浠殑瑙ｃ傜敱浜巘anx 鏄懆鏈熷嚱鏁帮紝鎵鏈夎瀵箈鐨勫彇鍊艰繘琛岄檺瀹氾紝涓嶇劧锛屼細鏈夋棤绌峰瑙ｃ備綘缂栧嚭鏉ョ殑绋嬪簭鏄竴姝诲惊鐜殑銆傜劧鍚庣紪绋嬫眰y1=y2鏃跺搴旂殑鍊煎氨鏄粬鏂圭▼鐨勮В ...
