Calculus 2.3 Calculating Limits Using the Limit Laws

Calculus: Early Transcendentals 8th Edition by James Stewart

[am]

Questions:
If the answer is 0 we counted as doesn't exist? Or..

Can you plug in 0 on the equation for the Questions that have a given values for limits, or we also counted as doesn't exist?

[mattkriese]

Thank you for this! I have a question regarding the intervals in example 4 as this question brought me here. If for the interval (pi if x =1) was not a point, but instead just a constant therefore a horizontal line at pi including all values of x, would the overall limit still exist for the piecewise function as x --> 1?

[zyxwvut-pg]

at 15:33 how did you end up with 6h + h^2 from (9+ 6h +h)-9

[MoribaSahrKondeh-towj]

someone please help me with this question.

lim (x^2 - 4)
x ---- 2
( 2 - x )