Calculus Flashcards

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Flashcards for Calculus Limits and Derivatives

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10 Terms

1
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<p>Limit of sin(x)/x as x-&gt;0</p>

Limit of sin(x)/x as x->0

1

2
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<p>Limit of (cos(x)-1)/x as x-&gt;0</p>

Limit of (cos(x)-1)/x as x->0

0

3
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<p>Limit of (e^x - 1)/x as x-&gt;0</p>

Limit of (e^x - 1)/x as x->0

1

4
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<p>Limit of (1 + x/X)^X as X-&gt;infinity</p>

Limit of (1 + x/X)^X as X->infinity

e

5
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<p>Limit of (1 + k/X)^X as X-&gt;infinity</p>

Limit of (1 + k/X)^X as X->infinity

e^k

6
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<p>limit of (cos(x + h) - cos(x))/h as h approaches 0</p>

limit of (cos(x + h) - cos(x))/h as h approaches 0

-sin(x)

7
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<p>limit of ((x+h)^n - x^n)/h as h approaches 0</p>

limit of ((x+h)^n - x^n)/h as h approaches 0

nx^(n-1)

8
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<p>limit of (e^(x+h) - e^x)/h as h approaches 0 </p>

limit of (e^(x+h) - e^x)/h as h approaches 0

e^x.

9
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<p>limit of (sin(x + h) - sin(x))/h as h approaches 0</p>

limit of (sin(x + h) - sin(x))/h as h approaches 0

cos(x)

10
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<p>limit of (ln(x + h) - ln(x))/h as h approaches 0</p>

limit of (ln(x + h) - ln(x))/h as h approaches 0

1/x