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Find lim_(x rarr1)(x-11)/(x+7). Choose 1 answer: (A) -2 (B) -(5)/(4) (C) (3)/(2) (D) The limit doesn't exist

Find lim⁡x→1x−11x+7 \lim _{x \rightarrow 1} \frac{x-11}{x+7} .\newlineChoose 11 answer:\newline(A) −2-2\newline(B) −54 -\frac{5}{4} \newline(C) 32 \frac{3}{2} \newline(D) The limit doesn't exist

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Q. Find lim⁡x→1x−11x+7 \lim _{x \rightarrow 1} \frac{x-11}{x+7} .\newlineChoose 11 answer:\newline(A) −2-2\newline(B) −54 -\frac{5}{4} \newline(C) 32 \frac{3}{2} \newline(D) The limit doesn't exist
  1. Substitute xx approaching 11: Substitute the value of xx approaching 11 into the function.lim⁡x→1x−11x+7=1−111+7\lim_{x \rightarrow 1}\frac{x-11}{x+7} = \frac{1-11}{1+7}
  2. Perform calculations for numerator and denominator: Perform the calculations for the numerator and the denominator.\newlineNumerator: 1−11=−101 - 11 = -10\newlineDenominator: 1+7=81 + 7 = 8
  3. Divide numerator by denominator: Divide the numerator by the denominator to find the limit.\newlineLimit: −108=−54-\frac{10}{8} = -\frac{5}{4}
  4. Simplify the fraction: Simplify the fraction if possible.\newline−54-\frac{5}{4} is already in simplest form.
  5. Choose correct answer: Choose the correct answer from the given options.\newlineThe calculated limit is −54-\frac{5}{4}, which corresponds to option (B).

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