If $l(x)$ is the least integer not less than $x$ and $g(x)$ is the greatest integer not greater than $x$, then ${\lim_{x \rightarrow e + \pi}\ \ }{\{ l(x) + g(x)\}}$ is equal to

Question

Dr. Abubacker · Accepted Answer

(d)
${\lim_{x \rightarrow e + \pi}\ \ }{\{ l(x) + g(x)\}} = {\lim_{x \rightarrow 5.81}\ \ }{\{ l(x) + g(x)\}}$
$= (5.81) + (5.81)$
$= 6 + 5 = 11$

Q. If $l(x)$ is the least integer not less than $x$ and $g(x)$ is the greatest integer not greater than $x$, then ${\lim_{x \rightarrow e + \pi}\ \ }{\{ l(x) + g(x)\}}$ is equal to

Explanation

Reviewed by Dr. Abubacker

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