TS EAMCET · Maths · Limits
\(\lim _{x \rightarrow-2^{+}}\left([x]^2-[x]-2\right)+\lim _{x \rightarrow-3^{-}}\left([x]^2-4[x]+3\right)=\)
- A \(39\)
- B \(33\)
- C \(28\)
- D \(44\)
Answer & Solution
Correct Answer
(A) \(39\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text \quad \lim _{x \rightarrow-2^{+}}\left([-x]^2-[x]-2\right)+\lim _{x \rightarrow-3^{-}}\left([x]^2-4[x]+3\right) \\ & \because \quad \lim _{x \rightarrow-2^{+}}[x]=\lim _{h \rightarrow 0}[-2+h]=-2 \\ & \quad \lim _{x \rightarrow-3^{-}}[x]=\lim _{h…
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