[考古] 請問兩題計算題

[flygey (努力達成目標)]

1.Find the critical points and extrema of z=f(x,y)=xe^xsiny

               oo
2.Sequence {an}    whose the first three term are :
               n=1

  a1=1+1/2 , a2=1+1/(2+1/2) , a3=1+1/(2+1/(2+1/2))
 (1)What is the fifth term
 (2)Give the general form of an
 (3){an} convergence or divergence? If convergence then find it's limit
    else state the reason for divergence.

請教以上兩題
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感謝

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推 ht15trep:1.所求為fx=0, fy=0, Δ>0的點