Given points xn and x in Rd prove that: xn→x, i.e., for each ε >0 there...

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Question

Given points xn and x in Rd prove that: xn→x, i.e., for each ε >0 there...

Given points xn and x in Rd

prove that:

xn→x, i.e., for each ε >0 there exists an integer N >0 such that n ≥ N ⇒ ‖x−xn‖< ε.

and

For each ε >0 there exists an integer N >0 such that n ≥ N ⇒ ‖x−xn‖ ≤ ε

are equivalent.

math Advanced-Math

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Answer 1

Answer #1

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Answer 2

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