Which of the dicontinuities are removable?

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The discussion revolves around identifying the x values where the function f(x) = 1/(x^2 + 1) is not continuous and determining if any discontinuities are removable. Participants note that the denominator, x^2 + 1, cannot equal zero, indicating there are no discontinuities in the function. The conclusion drawn is that the function is continuous everywhere. There is a consensus that the problem was likely stated correctly, affirming the function's continuity. Overall, the function has no removable discontinuities.
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Homework Statement

Find the x values if any for which x is not continuous.Which of the dicontinuities are removable?

Homework Equations

f(x)=1/(x^2+1)

The Attempt at a Solution

Its unfactorable at the bottom ,i tried to factor it.Would this mean there are no discontinuities?
 
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Are you sure you wrote down the problem correctly. It is undefined when the denominator is zero but x^2 + 1 is never zero. Or maybe the answer is that it is continuous everywhere.
 
thanks
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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