Why do I get a strange answer when I plug in x=-1.001 in this function (-1.001^6-1)/(-1.001^3+1) as x--> -1
I get 600 something, but I know I should get a small integer like -2 or something.
I think you want to evaluate this, if I'm not mistaken....
lim (x^6 -1) / (x^3 + 1)
x → -1
Factor (x^6 -1) as (x^3 - 1) (x^3 + 1) ... so we have ....
lim [(x^3 - 1)(x^3 + 1)] /((x^3 + 1)
x → -1
Simplify by "cancelling" the (x^3 + 1) terms
lim (x^3 - 1)
x → -1
Now, take the limit
[ (-1)^3 - 1] = [-1 -1 ] = -2
Your question doesn't make sense because your expression only has numbers in it. It has no letters so it cannot be a function. There is nowhere to sub x=anything in because there is no x!
This is the value of the numerical expression.
(−1.0016−1)(−1.0013+1)=668.0034472232962963
I think you want to evaluate this, if I'm not mistaken....
lim (x^6 -1) / (x^3 + 1)
x → -1
Factor (x^6 -1) as (x^3 - 1) (x^3 + 1) ... so we have ....
lim [(x^3 - 1)(x^3 + 1)] /((x^3 + 1)
x → -1
Simplify by "cancelling" the (x^3 + 1) terms
lim (x^3 - 1)
x → -1
Now, take the limit
[ (-1)^3 - 1] = [-1 -1 ] = -2