Suppose, where is an interval. Let be a sequence of functions which converges pointwise to on. Which of the following is true?

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Suppose<br><img src='https://www.fatskills.com/images2/GradExams/14DA4FFC-77E2-4E41-933D-9DD88D39693A.png' height='15' width='54'/>, where<br><img src='https://www.fatskills.com/images2/GradExams/79AB36A3-3E8C-490D-96DB-03AD9AF5F0C6.png' height='14' width='10'/> is an interval. Let<br><img src='https://www.fatskills.com/images2/GradExams/EF47C657-DCE7-48D2-BFDB-8B3E4ECDC112.png' height='20' width='63'/> be a sequence of functions which converges pointwise to<br><img src='https://www.fatskills.com/images2/GradExams/7BF538A1-7246-45F1-B643-D49BA3EA7428.png' height='20' width='35'/> on<br><img src='https://www.fatskills.com/images2/GradExams/79AB36A3-3E8C-490D-96DB-03AD9AF5F0C6.png' height='14' width='10'/>. Which of the following is true?