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29 Cards in this Set
- Front
- Back
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B^(log^^b (y)) |
Y |
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Log^^b (b^x) |
X |
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Log^^b (1) |
0 |
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Log^^b (b) |
1 |
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Log^^b (xy) |
Log^^b (x) + log^^b (y) |
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Log^^b (x/y) |
Log^^b (x) - log^^b (y) |
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Log^^b (x^y) |
Y log^^b (x) |
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Log^^b (x) |
(Log^^c (x))/(log^^c (b)) |
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e^(ln (x)) |
X |
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ln (e^x) |
X |
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ln (1) |
0 |
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Ln (e) |
1 |
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ln (xy) |
ln (x) + ln (y) |
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ln (x/y) |
ln (x) - ln (y) |
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ln (x^y) |
y ln (x) |
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Lim n to infinite (1 + (x/n))^n |
e^x |
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Lim h to 0 (1 + xh)^(1/h) |
e^x |
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Lim n to infinity (1 + (1/n))^n |
e |
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Lim h to 0 (1 + h)^(1/h) |
e |
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Lim h to 0 (e^h - 1)/h |
1 |
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Lim x to infinity e = infinity |
Lim x to - infinity e^x = 0 |
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Then Lim x to infinity r^x = infinity |
If r > 1 |
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Then Lim x to infinity r^x = 1 |
If r = 1 |
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Then Lim x to infinity r^x = 0 |
If 0 <= r < 1 |
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Lim x to infinity x^n/e^x |
0 |
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Lim x to infinity ln(x) |
Infinity |
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If a > 0, lim x to infinity (ln (x))/(x^a) |
Then 0 |
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Lim x to 0+ ln (x) |
- infinity |
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If a > 0, lim x to 0+ x^a ln(x) |
Then 0 |
