Finding Limit on 58(b): UGA Math 115 Homework #2

In summary, the purpose of finding the limit on 58(b) is to determine the value that a function approaches as its input approaches a specific value. This can be done using algebraic manipulation and substitution, as well as various limit laws and theorems. It is important to find the limit on 58(b) because it helps us understand the behavior of a function and solve mathematical problems. UGA Math 115 Homework #2 is a specific exercise that involves finding the limit on 58(b) and can help students improve their skills in this area. However, there are limitations to finding the limit on 58(b) as some functions may not have a limit or have very complicated or indeterminate limits.
  • #1
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is there any other way to find the limit on 58(b). its on page 3 of the link.

http://www.math.uga.edu/~clayton/teaching/m115f09/homework/hw2solutions.pdf
 
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  • #2
The only other way I can think of is to verify by induction that $a_n = F_n/F_{n+1}$ ($F_n$ denotes the $n$th term of the Fibonacci sequence), then use the identity

$F_n = \frac{1}{\sqrt{5}}\left\{\left(\frac{1+\sqrt{5}}{2}\right)^n - \left(\frac{1-\sqrt{5}}{2}\right)^n\right\}$

to compute $\lim_{n\to \infty} a_n$ directly.
 

FAQ: Finding Limit on 58(b): UGA Math 115 Homework #2

What is the purpose of finding the limit on 58(b)?

The purpose of finding the limit on 58(b) is to determine the value that a function approaches as its input approaches a specific value. This is important in understanding the behavior of a function and can help in solving various mathematical problems.

How do you find the limit on 58(b)?

To find the limit on 58(b), you can use algebraic manipulation and substitution, as well as various limit laws and theorems. It is also helpful to graph the function to gain a visual understanding of its behavior near the specific value.

Why is it important to find the limit on 58(b)?

Finding the limit on 58(b) is important because it allows us to understand the behavior of a function and make predictions about its output based on its input. It also helps in solving various mathematical problems, such as finding the maximum or minimum value of a function.

What is the significance of UGA Math 115 Homework #2 in finding the limit on 58(b)?

UGA Math 115 Homework #2 is a specific exercise or problem that involves finding the limit on 58(b). By completing this homework, students can practice and improve their skills in finding limits, which is an important concept in calculus and other areas of mathematics.

Are there any limitations to finding the limit on 58(b)?

Yes, there are some limitations to finding the limit on 58(b). In some cases, the limit may not exist due to discontinuities or other mathematical complexities. Additionally, some functions may have very complicated or indeterminate limits, which can make finding the limit on 58(b) challenging or impossible.

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