Evaluate the limit and indicate appropriate limit laws.
lim square root of u^4+3u+6
u->-2
Evaluate the limit
lim x^2+5x+4/x^2-3x-4
x->-4
Find the limit
lim t^2+2/t^3+t^2-1
t->-infinity
Please can someone help me?
Evaluate the limit and indicate appropriate limit laws.
lim square root of u^4+3u+6
u->-2
Evaluate the limit
lim x^2+5x+4/x^2-3x-4
x->-4
Find the limit
lim t^2+2/t^3+t^2-1
t->-infinity
Please can someone help me?
For the first one all you need to know is this
Let be a function defined at some point a, then
For the second one, consider two polynomials
and if
Both and contain the factor
Now for your last one Consider multiplying by
from there you can apply the first rule I gave you remembering the lax expression where a is a nondescript constant
Hi!bballj228
here is the solution
1))A=Lt [u^4+3u+6]^1/2
u->-2
put u =-2 and u will get
A=[16]^(1/2)
if u roughly look at the xpression or its graph u will find that the xpression>0 for all values of u.
therefor A=[16]^(1/2)=+4.
2)) B=Lt (x^2+5x+4)/(x^2-3x-4) x->-4
Nox just put x=-4 u will get
B=0/24=0
3))C=Lt[t^2+2]/t^3+t^2-1
t->infinity
divide numerator and denominator by t^2 u will get
C=Lt[1+2/(t^2)]/[t+1-1/(t^2)]
t->infinity
now put t=infinity
[remember 1/infinity=0]
finally u will get
C=1/(1+infinity) = 0
(infinity+1=infinity itself)
hope this helps ya.