AP EAMCET · Maths · Limits
\(\lim _{x \rightarrow \infty} \frac{(3-x)^{25}(6+x)^{35}}{(12+x)^{38}(9-x)^{22}}=\)
- A \(3^{60}\)
- B \(-1\)
- C \(1\)
- D \(0\)
Answer & Solution
Correct Answer
(B) \(-1\)
Step-by-step Solution
Detailed explanation
Leading coefficient of numerator: \((-1)^{25}(1)^{35} = -1\\) Leading coefficient of denominator: \((1)^{38}(-1)^{22} = 1\\) \(\\lim _{x \\rightarrow \\infty} \\frac{(3-x)^{25}(6+x)^{35}}{(12+x)^{38}(9-x)^{22}} = \\frac{-1}{1} = -1\\)
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