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Question 1

college-boardCalculus AB/BCAPExam Style

1 mark

If the limit of a function as x approaches a certain value is equal to the value of the function at that point, what can be concluded?

Question 2

college-boardCalculus AB/BCAPExam Style

1 mark

What is the limit as x approaches zero of function h(h) = 5/x?

Question 3

college-boardCalculus AB/BCAPExam Style

1 mark

What does the limit of a function represent as x approaches infinity?

Question 4

college-boardCalculus AB/BCAPExam Style

1 mark

What is the value of $\displaystyle\lim_{x \to 3} \frac{x^2 - 9}{x-3}$ ?

Question 5

college-boardCalculus AB/BCAPExam Style

1 mark

What must be true about f(x) if $\lim_{x \to a} f(x)$ exists and is finite?

Question 6

college-boardCalculus AB/BCAPExam Style

1 mark

What does it mean if the limit of a function does not exist?

Question 7

college-boardCalculus AB/BCAPExam Style

1 mark

What is the limit of the function $f(x) = \frac{\sin(x)}{x}$ as $x$ approaches 0?

Question 8

college-boardCalculus AB/BCAPExam Style

1 mark

Which statement correctly describes an important aspect regarding one-sided limits?

Question 9

college-boardCalculus AB/BCAPExam Style

1 mark

Which expression is equivalent to the statement "the limit of f(x), as x approaches two from the left side"?

Question 10

college-boardCalculus AB/BCAPExam Style

1 mark

Given that $\lim_{h \to 0} \frac{f(3+h)-f(3)}{h} = 6$ , what is f'(3)?

Limits and Continuity