Hint | Antwort | % Korrekt |
---|---|---|
lim n→∞ ⁿ√n= | 1 | 93%
|
lim n→∞ ⁿ√a= (a > 0) | 1 | 92%
|
lim n→∞ qⁿ= (|q|<1) | 0 | 88%
|
lim n→∞ ⁿ√n!= | ∞ | 58%
|
lim x→0 sin(x)/x= | 1 | 56%
|
lim n→∞ n!/nⁿ= | 0 | 51%
|
lim x→0 x>0 xˣ= | 1 | 51%
|
lim x→0 (eˣ-1)/x= | 1 | 49%
|
lim n→∞ (logᵃ(n))/n= | 0 | 46%
|
lim n→∞ aⁿ/n!= | 0 | 44%
|
lim x→0 x>0 xlog(x)= | 0 | 44%
|
lim n→∞ nᵇ/aⁿ= (|a|>1) | 0 | 43%
|
lim x→∞ xᵃ/eˣ= | 0 | 43%
|
lim x→0 log(x+a)/x= | 1 | 43%
|
lim x→∞ (logᵃ(x))/x= | 0 | 42%
|
log′(x) = (für x>0) | 1/x | 15%
|
lim n→∞ (1+a/n)ⁿ= | eᵃ | 13%
|
lim x→0 (1-cos(x)/x²= | 0,5 | 10%
|
tan′(x)= (für cos(x) != 0) | 1/(cos²(x)) | 8%
|
lim n→∞ (ⁿ√n!)/n= | 1/e | 4%
|
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