嘉定一中AP选修课
AP Calculus BC
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Microeconomics
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Calculus BC
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Unit 2 练习
Unit 2 Practice: Limits and Continuity
极限与连续 练习
📝 5 道选择题
1. lim(x→0) sin(x)/x =
A. 1
B. 0
C. ∞
D. undefined
2. lim(x→∞) (3x²+1)/(x²+5) =
A. 3
B. 1
C. 0
D. ∞
3. The function f(x) = {x² if x<1, 2x-1 if x≥1} is continuous at x=1 because:
A. lim(x→1) f(x) = f(1) = 1
B. f(1) exists
C. The limit exists
D. Both pieces are polynomials
4. lim(x→0) (1-cos(x))/x² =
A. 1/2
B. 0
C. 1
D. ∞
5. If lim(x→3) f(x) = 5 but f(3) = 7, then f is:
A. Discontinuous at x=3
B. Continuous at x=3
C. Undefined at x=3
D. Differentiable at x=3
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