Tentukan limit h mendekati 0 f(x+h)-f(x)/h dari fungsi f(x)=1/x
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Limit h → 0[f(x + h) - f(x) ] / h
=
limit h → 0
[ 1/(x + h) - 1/x ]/h
=
limit h → 0
[ (x - (x + h))/(x(x + h)) ]/h
=
limit h → 0
[ -h/(x(x + h)) ]/h
=
limit h → 0
-h/hx(x + h)
=
limit h → 0
-1/x(x + h)
= -1/x(x + 0)
= -1/(x.x)
= -1/x²
= -x⁻²