Question:medium
The value of \( \lim_{x \to 3} \frac{x^5 - 3^5}{x^8 - 3^8} \) is equal to:
The value of \( \lim_{x \to 3} \frac{x^5 - 3^5}{x^8 - 3^8} \) is equal to:
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Alternatively, you can use L'Hôpital's Rule for \( 0/0 \) forms: differentiate the numerator and denominator separately.
\( \lim \frac{5x^4}{8x^7} = \frac{5(3)^4}{8(3)^7} = \frac{5}{8 \cdot 3^3} \).
Updated On: May 6, 2026
- \( \frac{5}{8} \)
- \( \frac{5}{64} \)
- \( \frac{5}{216} \)
- \( \frac{1}{27} \)
- \( \frac{1}{63} \)
Show Solution
The Correct Option is C
Solution and Explanation
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