${\rm{f}}\left( {\rm{x}} \right) = \left\{ {\begin{array}{*{20}{c}} {\frac{{{{\rm{e}}^{\rm{x}}} - 1}}{{\rm{x}}},{\rm{\;\;x}} 0}\ {0,{\rm{\;\;\;x}} = 0} \end{array}} \right.$Which one of the following statements is correct?

Question

${\rm{f}}\left( {\rm{x}} \right) = \left\{ {\begin{array}{*{20}{c}} {\frac{{{{\rm{e}}^{\rm{x}}} - 1}}{{\rm{x}}},{\rm{\;\;x}} > 0}\ {0,{\rm{\;\;\;x}} = 0} \end{array}} \right.$Which one of the following statements is correct?

TuteeHUB · Accepted Answer

f(x) is a strictly increasing function in (0, x).

TuteeHUB · Answer

f(x) is a strictly decreasing function in (0, x)

TuteeHUB · Answer

f(x) is neither increasing nor decreasing in (0, x)

TuteeHUB · Answer

f(x) is not decreasing in (0, x)

1.	\({\rm{f}}\left( {\rm{x}} \right) = \left\{ {\begin{array}{*{20}{c}} {\frac{{{{\rm{e}}^{\rm{x}}} - 1}}{{\rm{x}}},{\rm{\;\;x}} > 0}\\ {0,{\rm{\;\;\;x}} = 0} \end{array}} \right.\)Which one of the following statements is correct?
A.	f(x) is a strictly decreasing function in (0, x)
B.	f(x) is a strictly increasing function in (0, x).
C.	f(x) is neither increasing nor decreasing in (0, x)
D.	f(x) is not decreasing in (0, x)
Answer» B. f(x) is a strictly increasing function in (0, x).

\({\rm{f}}\left( {\rm{x}} \right) = \left\{ {\begin{array}{*{20}{c}} {\frac{{{{\rm{e}}^{\rm{x}}} - 1}}{{\rm{x}}},{\rm{\;\;x}} > 0}\\ {0,{\rm{\;\;\;x}} = 0} \end{array}} \right.\)Which one of the following statements is correct?

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