Eilb0e4niMorty
Eilb0e4niMorty Eilb0e4niMorty
  • 06-08-2016
  • Mathematics
contestada

Show by means of an example that lim x-> a [f(x) + g(x)] may exist even though neither lim x-> a f(x) and lim x -> a g(x) exists.

Respuesta :

meerkat18
meerkat18 meerkat18
  • 11-08-2016
To evaluate the limit, we substitute zero to function 1/x resulting to infinity. Hence,
limit from left = -∞ 
limit from right = ∞ 
Thus,
f(x)* g(x) = (1/x) *(1/x) = 1/x² 

as x ->0: 
lim from left = ∞ 
lim from right = ∞ 
lim = ∞

Limit thus doesn't exist
Answer Link

Otras preguntas

How to solve a one step equation ( k/4= 17/2)
My teacher wouldn't help me.. and this is my last question. I need to know how to find the perimeter of the geometric figure (it's a parallelogram) The sides ar
Where is the source of the River Thames?
what is the characteristics of spatial thinking
Describe the story that anthropologists think the bones and tools they have discovered reveal about prehistory
How to solve 167<6+7(2-7r)
18+m/4=24 solve for m
If the merry-go-round makes one revolution in 10 seconds, what is the child’s linear speed?
Base word for Beautiful?? >> Help needed (:
round 896,275 to the nearest hundred thousand