SOLUTION: What is the value of this expression when n approaches infinity? 4-4/n+5/n+15/3n^2 a. 20 b. 10 c. 5 d. 4 e. 1

Algebra.Com
Question 1178316: What is the value of this expression when n approaches infinity?
4-4/n+5/n+15/3n^2
a. 20
b. 10
c. 5
d. 4
e. 1

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

4 - (4/n) + (5/n) + (15/(3n^2))


                Please notice how I rewrote your post using parentheses.

                I did it to show different parts of formulas in clear way.


There is a constant term of 4, and 3 other terms, containing    and    in their denominators.


These three terms tends to zero as n tends to infinity.


THEREFORE, the limit is 4 when n approaches  infinity.

---------------

Is something that is unclear to you in my explanation ?


                Next time, as you post to this forum, use parentheses to show clearly different parts of the formulas,
                their numerators and denominators.


                Otherwise, your posts will be UNREADABLE at this forum.




RELATED QUESTIONS

What is the value of this expression when n approaches infinity? 4-4/n+5/n+15/3n^2... (answered by MathLover1)
What is the value of this expression when n approaches infinity?... (answered by ikleyn)
8^n/3 = 1/4 then what is the value of n^n ? a -4 b -1/2 c - 1/4 d 1/4 e (answered by stanbon)
The nth term of the sequence -2, 1, 4, 7, 10,... is given by the formula (answered by rothauserc)
X Y 15 N 18 8 1/3 24 6... (answered by Fombitz)
Dear math teacher, Would you please explain why n cannot equal -4 and 5 as a solution (answered by solver91311)
The function f(x)=2x+1 is defined over the interval [2, 5]. If the interval is divided... (answered by MathLover1)
The expression n^2 + n + 11 does not represent a prime number if n equals: A.2 B.4 (answered by stanbon)
Simplify: -1/3n^5(12n^-2) A. -4/n^-7 B. -4/n^7 C. -4n^7 D.... (answered by stanbon)