Question:
Given \(f(x) = \begin{cases} \frac{tan((a+1)x)+tanx\cdot b}{x} & \quad x\lt 0\\ 3 & \quad x=0\\ \frac{\sqrt{ax+b^2x^2}-\sqrt{ax}}{\sqrt{a}bx\sqrt{x}} & \quad x\gt 0\end{cases}\) It is a continuous function at x=0, then find \(\frac{b}{a}\)
Given \(f(x) = \begin{cases} \frac{tan((a+1)x)+tanx\cdot b}{x} & \quad x\lt 0\\ 3 & \quad x=0\\ \frac{\sqrt{ax+b^2x^2}-\sqrt{ax}}{\sqrt{a}bx\sqrt{x}} & \quad x\gt 0\end{cases}\) It is a continuous function at x=0, then find \(\frac{b}{a}\)
Updated On: Jan 22, 2025
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Correct Answer: 6
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The Correct answer is 6.
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