Calculus Volume 1

794

Answer Key

a. 1; b. 1 119 .

⎛ ⎝ f ( x )−3 g ( x ) ⎞

f ( x )−3 lim

g ( x ) =0+6=6

lim x →−3 −

⎠ = lim

x →−3 −

x →−3 −

⎛ ⎝ lim

⎞ ⎠

g ( x )

2+

2+ g ( x )

2+0

x →−5

121 . lim

f ( x ) =

2 =1

f ( x ) =

lim x →−5

x →−5

= 2+5 3 = 7 3

f ( x )− g ( x ) 3 = lim x →1 3

f ( x )− lim x →1

g ( x )

123 . lim x →1 125 . lim

⎛ ⎝ lim

x ⎞ ⎠

⎛ ⎝ lim

⎞ ⎠ +2 lim

x →−9 ⎛

⎝ xf ( x )+2 g ( x ) ⎞

x →−9 ⎛

⎞ ⎠ = (−9)(6) + 2(4) = −46

f ( x )

⎝ g ( x )

⎠ =

x →−9

x →−9

127 . The limit is zero.

129 . a.

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