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Limits — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsLimits2 Marks
MCQ
$\lim _{x \rightarrow \infty} \frac{(2 x+1)^{40}(4 x-1)^5}{(2 x+3)^{45}}=$
  • A
    16
  • B
    24
  • ✓
    32
  • D
    8
✓

Answer

Correct option: C.
32
(C)
$\lim _{x \rightarrow \infty} \frac{(2 x+1)^{40}(4 x-1)^5}{(2 x+3)^{45}}=\lim _{x \rightarrow \infty} \frac{\left(2+\frac{1}{x}\right)^{40}\left(4-\frac{1}{x}\right)^5}{\left(2+\frac{3}{x}\right)^{45}}$
$=\frac{2^{40} \cdot 4^5}{2^{45}}=2^5=32$

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