Find the indicated limit, if it exists. I think the limit does not exist. lim x- -5 f(x)= { x+4 x

Question

Find the indicated limit, if it exists. I think the limit does not exist.
lim x-> -5
f(x)= { x+4  x<-5 }
         { 4-x  x≥-5 }

hartnn · Answer

thats correct!
how did you figure it out ?

anonymous · Answer

I plugged -5 in and nothing matched up

hartnn · Answer

thats the correct method too :) good!

if the limit existed, then both left hand limit and right hand limit should be EQUAL, in this case, they are not equal :)

anonymous · Answer

Yay! Thanks ((:

hartnn · Answer

welcome ^_^

anonymous · Answer

I have a question!

anonymous · Answer

what if I had a problem like the one I just posted and one of them makes sense and the other two don't?

anonymous · Answer

Would the limit be the one that works?

hartnn · Answer

"one of them makes sense and the other two don't?" <<<its very vague...can you post the exact question of which you are talking about?

anonymous · Answer

Haha sure

anonymous · Answer

limit of f of x as x approaches 0 where f of x equals 7 minus x squared when x is less than 0, 7 when x equals 0, and 10 x plus 7 when x is greater than 0

anonymous · Answer

so plugging in 
7 > 0
7 = 0
7 > 0 (this one makes sense where the others do not)

hartnn · Answer

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