Question

(X^2 - 7) / X^2 . limit as X reaches 0

Answer 1

Doesn't exist, it diverges to negative infinity.

Answer 2

\[ \lim_{x\rightarrow 0} \frac{x^2-7}{x^2} = \lim_{x\rightarrow 0} \left(1 - \frac{7}{x^2}\right) = -\infty \]

Answer 3

sure? thanks

Answer 4

Yea sure :-D.

Answer 5

lim_(X->0) (X^2-7)/X^2
The limit of a quotient is the quotient of the limits:
= (lim_(X->0) (X^2-7))/(lim_(X->0) X^2)
Using the power law, write lim_(X->0) X^2 as (lim_(X->0) X)^2:
= (lim_(X->0) (X^2-7))/(lim_(X->0) X)^2
The limit of X as X approaches 0 is 0:
= -infinity