In the

previous post we covered infinite discontinuity; limits of the form

\frac{1}{0}. Here we examine functions where the independent variable approaches infinity, or simply put the variable grows without bounds. Infinity is not a number, hence we cannot use the standard substitution method. Limits of the form

\frac{0}{0},\:\:\frac{\infty }{\infty },\:\:\infty -\infty,\:\:\infty \cdot 0,\:\:1^{\infty } are invalid. We can try to apply algebraic manipulation to transform the limit into something we can solve (limits of the form

\infty +\infty,\:\:a\cdot\infty,\:\:\infty^a,\:\:\frac{a}{\infty} ), or use more advanced techniques such as the Squeeze Theorem or L’hopital.

Let’s start with the basics (

click here):

Here’s another example (

click here):

Here’s an example using basic algebraic manipulation (

click here):

Here’s another example using algebraic manipulation (

click here):

In the next post we’ll dive into rational functions, square roots and infinity

Cheers,

Michal

Thanks. It's a good blog and really helpful. But if you provide limits at negative and positive infinity. Then it will be a better post.

ReplyDeleteYou get some problems in your math subjects. Your that math subjects have some limits and also have many problems which we must solve https://www.paperwritingpro.com/ . Its not easy but we may be trying to get help from here and also tell others.

ReplyDeleteOn the hills and far away. One million miles from L.A. We will find the beginning of something new. Take me anywhere, take me anywhere. Wherever you go with you. Just have you and the game: happy wheels basketball legends game

ReplyDeleteA lot of people ask around how they can send authentication messages like OTPs or verification codes whenever someone registers an account on their website or application. The simple answer is that they need to connect their application with an SMS provider using an SMS API.

ReplyDelete