Q's Let f,g ℝ→ℝ. Suppose that g is bounded. This means that its image is bounded or in other words there exists a positive real number B s.t. |g(x)| ≤ B ∀ x. Prove that if lim x→c f(x) = 0, then lim x→c f(x)g(x) = 0.(adsbygoogle = window.adsbygoogle || []).push({});

Work.

See the picture.

I am really confused I cant seem to understand the idea or the concept behind this. Can anyone explain in terms of like actual terms for example f(x) = x and g(x)= 1/(1+x^2) and parse through the idea with me? I kind of understand it but what is really messing me up is the min{,} I really need to understand that idea and that will really help me understand the idea as a whole.

Thanks

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# I Delta Epsilon Limit Problem

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