Math Problem Statement
Consider two real numbers x = LIMn→∞ an, y = LIMn→∞ bn. Show that if x = y, then x −1 = y −1
Solution
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Math Problem Analysis
Mathematical Concepts
Real Analysis
Limits
Reciprocals
Formulas
x = lim(n→∞) an
y = lim(n→∞) bn
lim(n→∞) (1/an) = 1/x
Theorems
Limit of a sequence
Reciprocal limit property
Suitable Grade Level
Undergraduate (Real Analysis, Calculus)