Standardgränsvärden Flashcards
1
Q
(lim x->0) sin(x)/x
A
1
2
Q
(lim x->0) 1-cos(x)/x²
A
1/2
3
Q
(lim x->0) (e^x - 1)/x
A
1
4
Q
(lim x->0) ln(1+x)/x
A
1
5
Q
(lim x->0) x^a * ln(x)
A
0, a>0
6
Q
(lim x->0) (1+x)^(1/x)
A
e
7
Q
(lim x->inf) ln(x)/x^a
A
0, a>0
8
Q
(lim x->inf) x^a/b^x
A
0, a>0, b>1
9
Q
(lim x->inf) (1+1/x)^x
A
e
10
Q
(lim x->inf) a^x/x!
A
0
11
Q
(lim x->inf) x!/x^x
A
0
