Question
Let I be any interval disjoint from (−1, 1). Prove that the function f given by `f(x) = x + 1/x` is strictly increasing on I.
Solution
We have,
∴ f is strictly increasing on `(-oo, 1) and (1, oo)`
Hence, function f is strictly increasing in interval I disjoint from (−1, 1).
Hence, the given result is proved.
Is there an error in this question or solution?
Solution Let I Be Any Interval Disjoint from (−1, 1). Prove that the Function F Given by F(X) = X + 1/X Is Strictly Increasing On I. Concept: Increasing and Decreasing Functions.
