) Σ (-1)" n = 1 00 (-1)**2 2) Σ n = 1 3) Σ sin(n) 3 n = 1

Q: 1. Show that the function, defined for x E R by f(x) = 1 is uniformly continuous 1+x² on R.

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Q: 24. Show that f(x) = mx + b, where m,b e R, is uniformly continuous on R. %3D

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Q: fixed point itteration Converge or diverge for the following function g(x) = 6/(x-5)

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Q: 3. Find two real-valued functions f and g that are uniformly continuous on a set E, but such that…

A: We find two real-valued functions f and g that are uniformly continuous on a set E, but such that…

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A: Uniformly Continuous Definition: A function f is said to be uniformly continuous on ℝ if, for every…

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Q: Checking continuity Determine the points at which the following func- tion is continuous. 3xy? x? +…

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Q: x +1 1. Let f(x) = prove that f is continuous at 0. x – 1 -

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A: f(x) has critical points at x=-7 , -2 , 7Since f''(-7), f''(-2) is positive ⇒There is local minimum…

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A: Option A will be the right answer.

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