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Find lim_(x rarr-5)((x+1)^(2))/(8-x). Choose 1 answer: (A) (16)/(13) (B) 2 (c) 12 (D) The limit doesn't exist

Find lim⁡x→−5(x+1)28−x \lim _{x \rightarrow-5} \frac{(x+1)^{2}}{8-x} .\newlineChoose 11 answer:\newline(A) 1613 \frac{16}{13} \newline(B) 22\newline(C) 1212\newline(D) The limit doesn't exist

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Q. Find lim⁡x→−5(x+1)28−x \lim _{x \rightarrow-5} \frac{(x+1)^{2}}{8-x} .\newlineChoose 11 answer:\newline(A) 1613 \frac{16}{13} \newline(B) 22\newline(C) 1212\newline(D) The limit doesn't exist
  1. Substitute xx approaching −5-5: Substitute the value of xx approaching −5-5 into the function to see if it results in an indeterminate form.\newlinelim⁡x→−5(x+1)28−x\lim_{x \to -5} \frac{(x+1)^{2}}{8-x}\newline=(−5+1)28−(−5)= \frac{(-5+1)^{2}}{8-(-5)}\newline=(4)28+5= \frac{(4)^{2}}{8+5}\newline=16/13= 16/13

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