We want to compute the following limit:
lim_{x o 7} frac{-x^2 + 13x - 42}{x^2 - 13x + 42}
a) As x approaches 7, we get an indeterminate form of the type
0/0
1/0
∞/-∞
0 * ∞
0/0
∞/∞
b) Simplify the quotient frac{-x^2 + 13x - 42}{x^2 - 13x + 42} when x ≠7, to get an expression of the form frac{P(x)}{Q(x)} that doesn't have a division by 0 at x=7.
FORMATTING: To write your answer, please type it in the form [P(x),Q(x)], including the square brackets and write a comma between your simplified numerator P(x) and your simplified denominator Q(x).
Answer: [P(x),Q(x)]=
c) Use your result in (b) to compute lim_{x o 7} frac{-x^2 + 13x - 42}{x^2 - 13x + 42}.
Answer:
