Answer:
b. 1/2
Step-by-step explanation:
lim (x -3)(x +2)
x-->-∞ ---------------
2x^2 + x +1
= lim (x^2 -3x +2x - 6)
x-->-∞ -----------------------
2x^2 + x +1
= lim (x^2 -x - 6)
x-->-∞ -----------------------
2x^2 + x +1
When we plug in x = -∞, we get indeterminate form.
Now we have to use the L'hospital rule.
d/dx (x^2 - x - 6) = 2x -1
d/dx (2x^2 + x + 1) = 4x + 1
Now apply the limit
lim (2x - 1) / (4x + 1)
x--->-∞
Here we have to degree of the numerator and the denominator of the same. In this case, if x --> -∞, we get the result as the coefficient of the leading term as the result.
According to the rule, we get
= 2/4
Which can simplified as 1/2
The answer is 1/2
Hope this will helpful.
Thank you.
Based on a yearly rate (which is the norm) I give you my answer ..
Your principle is at 745$
Annual Rate 9%
For the first year your principle will grow by 67.05 $ if untouched (9%) up to 812.05 $
2nd year .. 9% of the 812.05 $ is 73.0845 $ .. So by the 2nd year you reach 885.1345 $
3rd year .. 79.662105 $ .. Total 964.796605 $
4th year .. 86.83169445 $ .. <u>Final</u><u> 4 Years </u><u>Total 1051.62829945 $</u>