AP Calculus BC 1.9: Connecting Limits

Practise AP Calculus BC 1.9 questions by reading graphs of functions, evaluating limits from multiple representations, and deciding when a limit exists or does not exist.

Exam points

Interpret graph representations to decide whether stated limits exist at specified x-values.

[Maximum number: 1]

The graphs of the functions f and g are shown in the figures above. Which of the following statements is false?

$\lim _{x \rightarrow 1} f(x)=0$

$\lim _{x \rightarrow 2} g(x)$ does not exist.

$\lim _{x \rightarrow 1}(f(x) g(x+1))$ does not exist.

$\lim _{x \rightarrow 1}(f(x+1) g(x))$ exists.

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1.9—Connecting Multiple Representations of Limits—Topic 1.9 question 1