---

Comment : Modes of convergence quiz
Comment : This quiz is designed to test your knowledge of various types of convergence
Comment : of sequences of functions. In all questions, the f_n
Comment : are real-valued, absolutely integrable functions on a measure space X.
Comment : Note that some questions have multiple correct answers.

---

Question 1: If f_n converges uniformly to f, will imply f_n converges pointwise to f?

---

---

	Yes, always.
	Yes if the domain has finite measure, but not in general.
	Yes if one passes to a subsequence of f_n, but not in general.
	Yes if the functions are dominated by an absolutely integrable function, but not in general.
	Yes if the functions are non-negative and monotone increasing, but not in general.
	Yes if the functions are equicontinuous, but not in general.
	None of the above.