Question
Evaluate the following one-sided limits.(a) $\lim _{x \rightarrow 1-} \frac{1}{[x]+1}$(b) $\lim _{x \rightarrow 4+}[\sqrt{x}]$(c) $\lim _{x \rightarrow 4-}[\sqrt{x}]$
Step 1
(a) $\lim _{x \rightarrow 1-} \frac{1}{[x]+1}$ As x approaches 1 from the left, the greatest integer function [x] will be 0 (since x is slightly less than 1). Show more…
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