Re: 急問....
※ 引述《puppy110330 (慵懶的葉子)》之銘言：
: 1.use the double integral to find the volume of tetrahedron bounded by the
: planes x+y+z=1 x=0 y=0 z=0
: 2.let F(x.y)=ln(y/x) find themaximum value of directional derivative of f
: at the point (4.2)
: 3.find the limit lim(1/n+1 + 1/n+2 +...........+ 1/n+n)
: n->00
: 4.the tangent line of F(x.y)=x^3-2x^2+x+1 is parallel to y=5x+3
: at x=?
: 5.a linear approximation of f(x)=(x+3)^1/2 at a=1 is??????
3. lim (1/n)[(n/n+1) + (n/n+2)+ ... (n/n+n)]
n->00
= lim (1/n){1/[1+(1/n)] + 1/[1+(2/n)] + ... 1/[1+(n/n)]}
n->00
1
=∫dx/(1+x)
0
1
=log│1+x│▕
0
=log2-log1
=log2 #
5. 只須代入一階泰勒展開式f(x)≒ f(1) + [f'(1)/1!](x-1)^2 #
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