AP Calculus BC 1.10: Types of Discontinuities

Practise AP Calculus BC 1.10 questions by reading function graphs, comparing a limit with the function value at a point, and identifying discontinuity.

Exam points

Read a function graph to compare the two-sided limit with f(a) and identify a removable discontinuity.

[Maximum number: 1]

The graph of y=f(x) is shown above. Which of the following is true?

$\lim _{h \rightarrow 0} \frac{f(a+h)-f(a)}{h}$ exists.

$\lim _{x \rightarrow a^{+}} f(x) \neq \lim _{x \rightarrow a^{-}} f(x)$

$\lim _{x \rightarrow a} f(x) \neq f(a)$

$\lim _{x \rightarrow a} f(x)$ does not exist.

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LIM-2.A—Justify conclusions about continuity at a point using the definition question 1