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16a_practice_midterm_i

# 16a_practice_midterm_i - 16A Practice Midterm I 1.a Find...

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16A Practice Midterm I 1.a) Find the center and radius of the circle 3 x 2 + 3 ψ 2 - 9 ξ + 6 - 9 /4 = 0 b) Find the domain of f and write your answer in interval notation: f ( x ) = 2 + 1 2 9 - 2 2. Let f ( x ) = 2 -1 ( -129 2 ( + 229 a) What are the vertical asymptotes of f? b) Want are the horizontal asymptotes of f? 3. Let g ( x ) = 1 + 1 and h ( x ) = 1 a) Find g[h(x)] b) Find h[g(x-1)] c) Find the domain of h[g(x) 4. Find the following limits, or explain why the limit does not exist. a) lim x → 1 + 2 2 + 3 = b) lim x → 2 2 - 5 + 6 2 2 - 2 - 4 = c) lim x → 4 5 + - 3 - 4 = d) lim x → ∞ 5 2 - + 1 3 2 - 7 = 5. Let lim x → 2 + φ ( 29 = 5 and lim x → 2 - ( 29 = 3 Circle the numeral in front of the “phrases” which make the statement corect. At x = 2, the function f i) is continuous ii) is not continuous iii) is differentiable iv) is not differentiable v) has a removable
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