Respuesta :
Answer:
Step-by-step explanation:
Limit of (x - 1))/(x^2 - 1)
x---> -1
As x approaches -1 from negative side ( x < -1) the limit is -infinity.
As x approaches -1 from positive side ( x > -1) the limit is +infinity
Option (D) is correct.
What is limit of a sum of function?
"The limit of a sum of functions is the sum of the limits of those functions".
For the given situation,
The equation is expressed as [tex]\lim_{x \to \ -1} \frac{x-1}{x^{2}-1 }[/tex]
⇒[tex]\lim_{x \to \ -1} \frac{x-1}{(x+1)(x-1) }[/tex]
⇒[tex]\lim_{x \to \ -1} \frac{1}{(x+1) }[/tex]
Apply the limit value in x,
⇒[tex]\frac{1}{-1+1}[/tex] = ∞
Hence we can conclude that none of the options given are correct. So option (D) is correct.
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