# Tutor profile: Bella D.

## Questions

### Subject: Basic Math

Using the Least Common Denominator find the solution to $$\frac{4}{3}+\frac{5}{11}=$$.

$$\frac{4}{3}+\frac{5}{11}= \frac{44}{33}+\frac{15}{33}= \frac{59}{33}$$ In this case, the least common denominator is 33 because the denominators given are 3 and 11. The lowest (or least) common number that 3 and 11 have in common is 3x11=33.

### Subject: Calculus

Find the limit of the function. $$lim_n \to_\infty \frac{ln(n+2)}{n^2 + 5n + 1}$$

The limit of this function is 0. To find this solution you will need to use L'Hopitals rule. $$lim_n \to_\infty \frac{ln(n+2)}{n^2 + 5n + 1}= lim_n \to_\infty \frac{\frac{1}{n+2}}{2n+5}= lim_n \to_\infty \frac{1}{(n+2)(2n+5)} $$

### Subject: Algebra

In Algebra, the biggest concept we talk about is the idea of Functions. What is a function? Give me an example and explain how a function is different than other relations. If it is helpful, use Function Notation in your answer.

A function is a relation where every input has exactly one output. This means every x-value has only one y-value. Each x-value could have the same y-value. For example, f(x)=5 means every output is 5 for every x-value that is substituted in. On a graph, this would be a horizontal line. The difference between a function and other relations is that other relations can have x-values, or inputs, with more than one output. An example of a relation, that is NOT a function would be a circle.

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