Question
For the function f whose graph is given, state the following. 12110601381.jpg (a) \lim_{x \rightarrow \infty} f(x) b) \lim_{x \rightarrow -\infty} f(x) (c) \lim_{x \rightarrow 1} f(x) (d) \lim_{x \rightarrow 3} f(x) (e) the equations of the asymptotes Vertical:- ? Horizontal:-?
Answers (1)
2021-05-14
Relevant Questions
asked 2021-05-05
Determine if the following series is convergent or divergent
a) \(\sum_{n=2}^{\infty}\frac{1}{n \ln n}\)
b) \(\sum_{n=0}^{\infty} ne^{-n^2}\)
c) \(\sum_{n=1}^{\infty}\frac{1}{\sqrt{n}}\)
d)\(\sum_{n=4}^{\infty}\frac{1}{n^7}\)
a) \(\sum_{n=2}^{\infty}\frac{1}{n \ln n}\)
b) \(\sum_{n=0}^{\infty} ne^{-n^2}\)
c) \(\sum_{n=1}^{\infty}\frac{1}{\sqrt{n}}\)
d)\(\sum_{n=4}^{\infty}\frac{1}{n^7}\)
asked 2021-08-14
Suppose you take a dose of m mg of a particular medication once per day. Assume f equals the fraction of the medication that remains in your blood one day later. Just after taking another dose of medication on the second day, the amount of medication in your blood equals the sum of the second dose and the fraction of the first dose remaining in your blood, which is m+mf. Continuing in this fashion, the amount of medication in your blood just after your nth does is \(\displaystyle{A}_{{{n}}}={m}+{m}{f}+\ldots+{m}{f}^{{{n}-{1}}}\). For the given values off and m, calculate \(\displaystyle{A}_{{{5}}},{A}_{{{10}}},{A}_{{{30}}}\), and \(\displaystyle\lim_{{{n}\rightarrow\infty}}{A}_{{{n}}}\). Interpret the meaning of the limit \(\displaystyle\lim_{{{n}\rightarrow\infty}}{A}_{{{n}}}\). f=0.25,m=200mg.
asked 2021-08-09
Graph f and g in the same rectangular coordinate system. Use transformations of the graph of f to obtain the graph of g. Graph and give equations of all asymptotes Use the graphs to determine each function's domain and range.
\(\displaystyle{f{{\left({x}\right)}}}={2}^{{{x}}}\ {\quad\text{and}\quad}\ {g{{\left({x}\right)}}}={2}^{{{x}-{1}}}\)
\(\displaystyle{f{{\left({x}\right)}}}={2}^{{{x}}}\ {\quad\text{and}\quad}\ {g{{\left({x}\right)}}}={2}^{{{x}-{1}}}\)
asked 2021-08-08
Begin by graphing \(\displaystyle{f{{\left({x}\right)}}}={{\log}_{{{2}}}{x}}\).
Then use transformations of this graph to graph the given function. What is the graph's x-intercept? What is the vertical asymptote? Use the graphs to determine each function's domain and range.
\(\displaystyle{h}{\left({x}\right)}=-{1}+{{\log}_{{{2}}}{x}}\)
Then use transformations of this graph to graph the given function. What is the graph's x-intercept? What is the vertical asymptote? Use the graphs to determine each function's domain and range.
\(\displaystyle{h}{\left({x}\right)}=-{1}+{{\log}_{{{2}}}{x}}\)
