Question

lim h -> 0 = ((1+h)^3-1)/h

Answer 1

\[\lim h -> 0 = ((1+h)^3-1)/h\]

Answer 2

is the problem

Answer 3

Please show steps

Answer 4

l'hospital

Answer 5

\[\lim h-> 0 = ((1+h)(1+h)(1+h)-1)/h\]
\[\lim h -> 0 = ((h ^{2}+2h+1)(1+h)-1)/h \]
\[\lim h -> 0 = ((h ^{3}+3h ^{2}+3h+1)-1)/h\]
\[\lim h -> 0 = (h ^{3}+3h ^{2}+3h)/h\]
\[\lim -> 0 = h(h ^{2}+3h+3)/h\]
\[\lim h -> 0 = h ^{2}+3h+3\]
\[= 0^{2} +3(0) +3\]
\[= 3\]