Question:medium

The value of \( \lim_{x \to 0} \left( \frac{a^x + b^x + c^x}{3} \right)^{\frac{2}{x}} \), \( (a,b,c>0) \) is

Show Hint

For limits involving powers, convert to exponential form using \( (1+x)^n \to e^{nx} \).
Updated On: Apr 23, 2026
  • \( (abc)^3 \)
  • \( abc \)
  • \( (abc)^{1/3} \)
  • None of these
Show Solution

The Correct Option is D

Solution and Explanation

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