TS EAMCET · Maths · Limits
\[ \lim _{x \rightarrow 0} \frac{4[\sin (2022 x)-\sin (2020 x)]}{x[\cos (2022 x)+2 \cos (2021 x)+\cos (2020 x)]}= \]
- A 1
- B 2
- C 2020
- D 2021
Answer & Solution
Correct Answer
(B) 2
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { } \lim _{x \rightarrow 0} \frac{4[\sin (2022 x)-\sin (2020 x)]}{x[\cos (2022 x)+2 \cos (2021 x)+\cos (2020 x)} \\ & \Rightarrow \text { as } x \rightarrow 0 f(x) \rightarrow\left(\frac{0}{6}\right) \\ & \text { now } \\ & \lim _{x \rightarrow 0}…
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