Prove that for any bounded sequences (xn) and yn we have lim sup(xn + Yn) < lim sup(xn) + lim sup(yn). Give an example that shows that equality may not hold. What is the corresponding inequality for lim inf?

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A: Concept:

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A: Please refer to the image below

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Q: Find lim *2 x -2 In(x- 1) by using the La'Hospital Rule.

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A: The value of 1/infinity is 0. So using this knowledge we got into this problem.

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Q: Find the limit of lim x(√64x²5 ∞0++* √64x²14) = = lim x(√64x²5 -5-√√64x²-14) ∞0++x

A: limx→∞x64x2-5-64x2-14

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