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- Mathematics 141
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- Random Things to Know for the Final

Madilynn M.

ln(1)

0

What happens when an infinity is in the top?

The limit goes to infinity

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What happens when an infinity is in the bottom?

The limit goes to zero

e ^-infinity

0

ln(infinity)

infinity

ln(0)

-infinity

e^0

1

r^2 =

x^2+y^2

tangent of theta =

y/x

x=

rcos(theta)

y=

rsin(theta)

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The linearization equation

L(x)=f(a)+f'(a)(x-a)

when there is a zero on the top...

the limit goes to zero

when there is a zero on the bottom...

the limit DNE

ln(e)

1

the derivative of a^x

a^x(ln(a))

e^lnx

x

lne^x

x

the derivative of arctangent

1/(1+x^2)

the derivative of log_a_x

1/xlna

the derivative of ln(y)

1/y

sin(pi/6)

1/2

sin(pi/4)

(square root of 2)/2

sin(pi/3)

root 3 over 2

tan(pi/6)

root 3 over 3

tan(pi/4)

1

tan(pi/3)

root 3

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