Use Graph to Determine Limit: Calculating Limits with Piecewise Functions

[nycmathguy]

Summary:: Graphs and Limits

Use the graph to determine the limit of the piecewise function as x tends to 1.

Let me see.

lim of (-x + 3) as x-->1 from the left is 2.

lim of (2x) as x-->1 from the right is 2.

I can safely say that the limit of f(x) as x tends to 1 from the left and right simultaneously is 1.

The limit of f(x) is 1.

Correct?

 

[BvU]

Summary:: Graphs and Limits

lim of (-x + 3) as x-->1 from the left is 2.

lim of (2x) as x-->1 from the right is 2.

I can safely say that the limit of f(x) as x tends to 1 from the left and right simultaneously is 1.

The limit of f(x) is 1.

Correct?

Typo ?

$\$

 

[nycmathguy]

Typo ?

$\$

Yes, big time typo. The limit is clearly 2 not 1. I was rushing through my first reply. Thank you for pointing out my typo. I will repost.

 

[nycmathguy]

I MADE A TYPO AND THUS, DECIDED TO REPOST ORIGINAL THREAD.

Use the graph to determine the limit of the piecewise function as x tends to 1.

Let me see.

lim of (-x + 3) as x-->1 from the left is 2.

lim of (2x) as x-->1 from the right is 2.

I can safely say that the limit of f(x) as x tends to 1 from the left and right simultaneously is 2.

The limit of f(x) is 2.

P. S. Having fun with calculus so far. Hoping the excitement does not run out.