Why is the limit as x approaches infinity of sqrt(x) - sqrt(x-4) equal to zero? Is it? I thought that infinity - infinity is undefined because we can't do arithmetic with infinity.

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A:

Q: Use the formal definition of the limit to prove the statement rigorously.

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Q: use the formal definition of the limit to prove the statement rigorously

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A:

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A: given,

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A: Given

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A: To find the limit

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A:

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A:

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A:

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A:

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A:

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A:

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A:

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A: Given,

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A:

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A:

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A:

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A:

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