can you find a maclauren series representation for 1/x^2? How can you prove it d

Question

can you find a maclauren series representation for 1/x^2?
How can you prove it doesn't exist? Each of its terms is divided by zero if you try to derive it. If each of its terms doesn't exist, can you say the sum doesn't exist? can you find a maclauren series representation for 1/x^2?
How can you prove it doesn't exist? Each of its terms is divided by zero if you try to derive it. If each of its terms doesn't exist, can you say the sum doesn't exist? can you find a maclauren series representation for 1/x^2?
How can you prove it doesn't exist? Each of its terms is divided by zero if you try to derive it. If each of its terms doesn't exist, can you say the sum doesn't exist?

Explanation / Answer

f'(x)=-2/x^3

As f'(0) or fn(0) does not exist at x= 0 . That's why maclaurin series does not exist.

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