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TS EAMCET · Maths · Continuity and Differentiability

If \(f: R \rightarrow R\) defined as \(f(x)=\frac{x^3+2 x^2+x+2}{x^2+x-2}\) (when \(x \neq-2\) ) is continuous at \(x=-2\), then \(f(-2)\) is equal to

  1. A 5
  2. B \(\frac{-5}{3}\)
  3. C 2
  4. D \(\frac{3}{5}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{-5}{3}\)

Step-by-step Solution

Detailed explanation

Given, \(f(x)=\frac{x^3+2 x^2+x+2}{x^2+x-2}\) is continuous at \(x=-2\)…
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