Find #lim x->0 (h^3+2h^2-7h)/h#?

1 Answer
Dec 28, 2017

#-7#

Explanation:

#"we have to eliminate h from the denominator otherwise"#
#"the expression will be undefined"#

#"factorise the numerator "#

#rArr(cancel(h)^1(h^2+2h-7))/cancel(h)^1#

#rArrlim_(hto0)(h^3+2h^2-7h)/h#

#=lim_(hto0)(h^2+2h-7)=-7#