Re: 幾個題目
※ 引述《gghh711 (lara)》之銘言:
: 之前po過的題目
: 但沒人幫我解出來
: 希望有人幫我解答~感激不盡!
: (很多題~希望能耐心的看完~拜託)
: 1.Let f(x)=sim x/x^2 -x ,how many asymptotes for the grath of y=f(x)is
: tanx-sinx
: 2. lim ------------
: x->∞ x^3
: 3. lim[e^x + x]^1/x
: x->0
= exp lim ln(e^x+x)/x
= exp lim (e^x+1)/(e^x+x)
= e^2
: f(x)
: 4.If f is a quadratic function such that f(0)=1 and ∫ ----------- dx is a
: x^2(x+1)^3
: rational function,find the value of f'(0)=?
: 5. u(x_1,x_2,x_3....x_n)=(x_1^2+x_2^2+....+x_n^2)^k,where n>2.If
: n d^2u
: Σ ----- = 0 for some (x_1,x_2....x_n)≠ (0,0,....O),then k=?
: i=1 dx_i^2
d
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