Question

lim(x->2) f(x)=4
lim(x->2) g(x)=2
lim(x->2) h(x)=0


what would lim(x->2) (g(x)h(x))/f(x)

Answer 1

i tried working this out and i got (-2)(0)/4

Answer 2

wouldnt it be 0?

Answer 3

You're right !
you're using multiplication law for limits in the background. look it up :
http://www.math.oregonstate.edu/home/programs/undergrad/CalculusQuestStudyGuides/SandS/lHopital/limit_laws.html

Answer 4

thanks!

Answer 5

yw