绗節绔?/p>
寰Н鍒嗗熀纭�
1
鍑芥暟鐨勬瀬闄愶紙绗﹀彿瑙ｆ硶锛?/p>
1.1
涓�鍏冨嚱鏁版眰鏋侀檺
鍑芥暟
limit
鏍煎紡
limit(F,x,a)
%
璁＄畻绗﹀彿琛ㄨ揪寮?/p>
F=F(x)
褰?/p>
x
鈫?/p>
a
鏃剁殑鏋侀檺鍊笺�?/p>
limit(F,a)
%
鐢ㄥ懡浠?/p>
findsym(F)
纭畾
F
涓殑鑷彉閲忥紝璁句负鍙橀噺
x
锛屽啀璁＄畻
F
褰?/p>
x
鈫?/p>
a
鏃剁殑
鏋侀檺鍊笺�?/p>
limit(F)
%
鐢ㄥ懡浠?/p>
findsym(F)
纭畾
F
涓殑鑷彉閲忥紝璁句负鍙橀噺
x
锛屽啀璁＄畻
F
褰?/p>
x
鈫?/p>
0
鏃剁殑
鏋侀檺鍊笺�?/p>
limit(F,x,a,'right')
鎴?/p>
limit(F,x,a,'left')
%
璁＄畻绗﹀彿鍑芥暟
F
鐨勫崟渚ф瀬闄愶細宸︽瀬闄?/p>
x
鈫?/p>
a-
鎴栧彸鏋?/p>
闄?/p>
x
鈫?/p>
a+
銆?/p>
銆愪緥
1
銆?/p>
>>syms x a t h n;
>>L1 = limit((cos(x)-1)/x)
>>L2 = limit(1/x^2,x,0,'right')
>>L3 = limit(1/x,x,0,'left')
>>L4 = limit((log(x+h)-log(x))/h,h,0)
>>v = [(1+a/x)^x, exp(-x)];
>>L5 = limit(v,x,inf,'left')
>>L6 = limit((1+2/n)^(3*n),n,inf)
璁＄畻缁撴灉涓猴細
L1 =
0
L2 =
inf
L3 =
-inf
L4 =
1/x
L5 =
[ exp(a), 0]
L6 =
exp(6)
娉細
鍦ㄦ眰瑙ｄ箣鍓嶏紝
搴旇鍏堝０鏄庤嚜鍙橀噺
x,
鍐嶅畾涔夋瀬闄愯〃杈惧紡
fun,
鑻?/p>
0
x
涓?/p>
飩?/p>
锛?/p>
鍒欏彲浠ョ敤
inf
鐩存帴
琛ㄧず銆傚鏋滈渶瑕佹眰瑙ｅ乏鍙虫瀬闄愰棶棰橈紝杩橀渶瑕佺粰鍑哄乏鍙抽�夐」銆?/p>
銆愪緥
2
銆?/p>
璇曞垎鍒眰鍑?/p>
tan
鍑芥暟鍏充簬
pi/2
鐐瑰鐨勫乏鍙虫瀬闄愩�?/p>
>> syms t;f=tan(t);L1=limit(f,t,pi/2,'left'), L2=limit(f,t,pi/2,'right')
L1 =
Inf
L2 =
-Inf
銆愪緥
3
銆戞眰浠ヤ笅鏋侀檺
1
锛?/p>
3
1
2
lim
2
0
飥?/p>
飥?/p>
飩?/p>
x
x
x
2
锛?/p>
x
x
x
t
3
)
2
1
(
lim
飥?/p>
飩?/p>
飩?/p>
瑙ｏ細缂栫▼濡備笅锛?/p>
>>
syms
x
t
;L1 = limit((2*x-1)/(x^2+3))
>>
L2 = limit((1+2*t/x)^(3*x),x,inf)