MHT CET · Maths · Limits
\(\lim _{x \rightarrow 2} \frac{x+3 x^2+5 x^3+7 x^4-166}{x-2}=\)
- A 167
- B 267
- C 287
- D 297
Answer & Solution
Correct Answer
(D) 297
Step-by-step Solution
Detailed explanation
\( \lim _{x \rightarrow 2} \frac{x+3 x^2+5 x^3+7 x^4-166}{x-2} = \left. \frac{\frac{d}{dx}(x+3 x^2+5 x^3+7 x^4-166)}{\frac{d}{dx}(x-2)} \right|_{x=2} \) \( = \left. \frac{1+6x+15x^2+28x^3}{1} \right|_{x=2} \)
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