LIMITS FINAL

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9 Terms

1
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0

log in numerator
powe in denominator

2
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½
constant in numerator
over power in denominator

3
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-2

sin(x²) = x²
cosx-1 = -x²/2
arctan = 1
x²/-x²/2


4
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ln7-ln6/ln3-ln2

ln and cancel x

5
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-1/6

sin-x=-x³/6
cancel x³

6
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1/3

tanx-x=x³/3
cancel x³

7
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0

plug in 0
sin(0)/1-0 = 0/1 = 0

8
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-2/5

2² = 4/2 = 2
2/5
negate

9
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-¼

constant/constant
negate