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Unformatted text preview: Name Homework 2
Sections 2.1 & 2.2 (2 + h)3 − 8
.
h→0
h 1. (6) Use algebra to evaluate lim 2. (4) The following gure depicts a function g (x) and its tangent line at a point. Use
the gure to ll in the blanks.
y
(1.5, 3) x (−1, −2) g( )= g( )= √ 3. (7) Find the slope of the line tangent to f (x) = x at the point x = 9. (Big hint: After
you have correctly set up the limit, it may be helpful to multiply both the numerator
√
and denominator by 9 + h + 3) 5
4. (3) Suppose that f (x) is a function with f (43) = −6 and f (43) = 2 . Estimate f (49). ...
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 Spring '08
 KENNEDY
 Calculus, Algebra

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