Evaluate limx - 0ax-bx-cxx1-x-a-b-c - 0-

lim_x→ 0(a^x+b^x+c^x3) (L Hospital) ⇒lim_x→ 0(a^x ln a+b^x ln b+c^xln c1) ⇒ ln a+ln b+ln c ⇒ ln(abc) ...

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Higher Order Derivatives

Evaluate li...

Question

Evaluate $lim x \to 0 {(\frac{a^{x} + b^{x} + c^{x}}{x})}^{1 / x}; (a, b, c > 0)$ .

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Solution

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