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Properties of Inequalities

The value of ...

Question

The value of $lim x \to \infty \frac{(2 x + 1)^{40} (4 x - 1)^{5}}{(2 x + 3)^{45}}$ is equal to

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Solution

Since degree of numerator and denominator is same, ratio of highest degree coefficients will be the answer.
So the limit $= \frac{2^{40} \cdot 4^{5}}{2^{45}} = 2^{5} = 32$

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Properties of Inequalities

Standard XII Mathematics

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