4.7 求下列函数在指定点z0处的泰勒展式:-|||-(1) dfrac (1)({z)^2} ,_(0)=1 ;-|||-(2)sinz, _(0)=1 ;-|||-(3) dfrac (1)(4-3z) _(0)=1+i ;-|||-(4)tanz, _(0)=dfrac (pi )(4).

4.7求下列函数在指定点z0处的泰勒展式:-|||-(1) 1/(x^2) _(0)=1 ;-|||-(2)sin z, _(0)=1 ;-|||-(3) df

3.求下列函数在给定点的Taylor级数,并指出收敛半径.-|||-(1) dfrac (z-1)(z+1) , _(0)=1 :-|||-(2)sinz^2,

1.求下列函数的留数:-|||-(1) (z)=dfrac ({e)^z-1}({z)^5} 在 z=0 处;-|||-(2) (z)=(e)^dfrac (1

_(0)=2;-|||-(3) dfrac (1)({2)^2} , _(0)=-1;-|||-(4) dfrac (1)(4-3z), _(0)=1+i;-|

求下列函数的奇点:(1)dfrac (z+1)(z({z)^2+1)}; (2)dfrac (z+1)(z({z)^2+1)}求下列函数的奇点:(1)

4.设 (z)=dfrac (1)(z)-zsin dfrac (1)({z)^2}, 则 [ f(z),0] =-|||-(A)1; (B)2; (C)0;

[ dfrac (sin z)({z)^2},0] =-|||-A 1-|||-B .-1-|||-C dfrac (1)(2)

1:将下列各函数在指定圆环内展为洛朗级数.-|||-(1) dfrac (ln (2-x))(z(x-1)), lt |z-1|lt 1 ;-|||-(2) d

1.将下列各函数在指定圆环内展为洛朗级数.-|||-(1) dfrac (ln (2-z))(z(z-1)) lt |z-1|lt 1;-|||-(2) dfr

2.设直线 :dfrac (x-1)(1)=dfrac (y)(1)=dfrac (z-1)(-1) 及π -y+2z-1=0.-|||-(1)求直线L在平面π