Limits Flashcards

1
Q

lim 1/n = ?

A

lim 1/n = 0
since the denominator grows larger & larger while the numerator remains a constant

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2
Q

lim n = ?

A

+∞
since n grows to infinity

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3
Q

lim log_2 n =?

A

+∞ since log_2 (x) is a slowly growing function

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4
Q

In what order do functions grow, from slowest to fastest

A

constants &laquo_space;logarithms &laquo_space;polynomials &laquo_space;exponentials &laquo_space;factorial
n &laquo_space;log_2 n &laquo_space;n^2 &laquo_space;2^n &laquo_space;n!

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5
Q

lim log_2 (1/n) =?

A

-∞

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