AP EAMCET · Maths · Continuity and Differentiability
The number of discontinuities in \(R\) for the function \(f(x)=\frac{x-1}{x^3+6 x^2+11 x+6}\) is
- A 3
- B 2
- C 1
- D 0
Answer & Solution
Correct Answer
(A) 3
Step-by-step Solution
Detailed explanation
Given, \[ \begin{aligned} & f(x)=\frac{x-1}{x^3+6 x^2+11 x+6} \\ & f(x)=\frac{x-1}{(x+1)\left(x^2+5 x+6\right)} \\ & f(x)=\frac{x-1}{(x+1)(x+2)(x+3)} \end{aligned} \] For is discontinuous, hence denominator is 0 .…
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