The function is continuous on

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

The function

h(x)=\ln x+\dfrac{1}{x}

is continuous on

\left[\tfrac12,3\right]

. At which

x

-value does

h

attain its absolute maximum on this interval? (a)

x=1

(b)

h

has no absolute maximum

\,\,

on this interval (c)

x=3

(d)

x=2