Calculating Limits

The process of calculating limits is very simple, but sometimes not quite.
Many times, we can use direct substitution.

This just means that we can just plug that value of x directly in the equation to get what you want.

Here's an example to apply this concept you just learned:

Calculate the following limits:

• Answer:
  -
  
• Answer:
  • = 5 + \sqrt{100} = 5+10 = 15

Now, let's try infinites. Calculate:

• Answer:
  • As we get larger and larger values, this function tends towards 0.

Notice that you get the same result for this previous limit if x also tends to !

Now, work on the following:

• Answer:
  • This function will grow as x tends to infinity.
    

We'll now go into a bit more complicated scenario:

Limits and Orders of Infinities