Question

find the limit at x approaches -5 of (30-6x)/(x+5)
a) 12
b) 6
c) does not exist
d) 0
e) -6/5

Answer 1

I already took a 6 out of the numerator so i have 6(-x+5)/(x+5)

Answer 2

\[\lim_{x \rightarrow -5}\frac{ (30-6x) }{ (x+5) }\]\[\lim_{x \rightarrow -5}\frac{ 6(5-x) }{ (x+5) }\]\[\lim_{x \rightarrow -5}\frac{ 6(5-(-5)) }{ (-5+5) }\]

Answer 3

u would get zero in the denominator so the limit DNE

Answer 4

But then you have a 0 in the denominator. So does the limit not exist?

Answer 5

Oh, thank you

Answer 6

Why isnt infinity included in your choices?

Answer 7

welcome

Answer 8

@joyraheb another way to say infinity or negative infinity is that the limit doesnt exist