Illustrate the definition of an infinite limit

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Reference no: EM131003909

Given the limit statement: lim_x→0 1/x² = ∞.

a. Write the inequalities f(x) > M and|x-a|<δ as they pertain to this limit statement.

b. Illustrate the definition of an infinite limit by finding a number δ that corresponds to M = 144, M = 10,000.

c. Deduce a relationship between M and δ that would allow you to compute δ for any M.

Reference no: EM131003909

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