Define limit of a function. Find limit x-∞ x – root x

Question

Define limit of a function. Find limit x->∞ x &#8211; root x

Suresh Chand · Accepted Answer

Let f(x) be a function defined on some open interval that contains the number a except posiibly at itself, then the limit of f(x) on x approaches to a, is l(finite value) and we write as (lim_{x to a} f(x) = 1)   Problem Part: (lim_{x to ∞} (x - sqrt{x}) ) = (lim_{x to ∞} sqrt{x} (sqrt{x} - 1) ) = ∞(∞ - 1) = ∞ Thus (lim_{x to ∞} (x - sqrt{x}) ) = ∞

Define limit of a function. Find limit \(\lim_{x \to ∞} (x – \sqrt{x}) \)

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Define limit of a function. Find limit \(\lim_{x \to ∞} (x – \sqrt{x}) \)

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