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tAnxx

痕方y=x才y=tanx曾倖痕方議曳熟壓糞方囃戦鮫竃曾倖痕方議夕顳拝岑祇y=tanx壓R貧頁巓豚痕方拝葎kπ絞峪俶網胎匯倖巓豚戦┛根圻泣議巓豚壓x=0 x=π/4x=-π/4扮。曾痕方夕駭狃撮燕幣犁硲x-π/4賜π/4< x< π/2扮y=x壓y=tanx和圭...

更秀痕方f(x)=tanx-x 0

譜輝x->0扮tanx-x~ax^k lim(x->0) (tanx-x)/ax^k =lim(x->0) (sec^2x-1)/akx^(k-1) =lim(x->0) tan^2x/akx^(k-1) =lim(x->0) x^2/akx^(k-1) =1 侭參k-1=2拝ak=1 k=3a=1/3 侭參tanx-x~(1/3)*x^3

咀葎 tan 0 =0 遇 tan x 壓 x-> 0 扮頁銭偬議 侭參 輝 x->0 扮 tan x - > x

1旋喘汽了垈辛參曳熟 tanxxsinx 2更夛痕方y=tanx-x x奉噐(0,π/2) y=x-sinx x奉噐(0,π/2)

x->0扮tanx頁x議吉勺涙博丕 軸lim(x->0)tanx/x=1

辛參輝恬頁痕方y=x才y=tanx曾倖痕方議曳熟壓糞方囃戦鮫竃曾倖痕方議夕顳拝岑祇y=tanx壓R貧頁巓豚痕方拝葎kπ絞峪俶網胎匯倖巓豚戦┛根圻泣議巓豚壓x=0 x=π/4x=-π/4扮。曾痕方夕駭狃撮燕幣犁硲x

喘solve痕方箔

lim(x★0)tanx/x=lim(x★0)(sinx/x)*1/cosxsinx/x自淙1,1/cosx自渙科1侭參lim(x★0)tanx/x=1侭參tanx~x

×y=x/tanx÷x=kπ,x=kπ+π/2 (K頁屁方)頁万議寂僅泣×f(0+0)=f(0-0)=1 (K=0扮f(kπ+0)才f(kπ-0)脅音贋壓 k』0扮f(kπ+π/2+0)=f(kπ+π/2-0)=0÷x=kπ (頁音葎巣議屁方頁奉噐及屈窃寂僅泣,x=0才x=kπ+π/2 (K頁屁方)頁奉噐辛肇寂僅泣温割協吶叉x=0扮...

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