MCQ
What is the value of $ \lim_\limits{\text{y} \rightarrow \infty}\frac{2}{\text{y}}?$
- A0
- B1
- C2
- DInfinity
Solution:
Any number divided by infinity gives us 0.
Here, since the number 2 is divided by y, as y approaches infinity, we get 0.
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The coefficient of $\frac{1}{\text{x}}$ in the expansion of $(1+\text{x})^{\text{n}}+\Big(1+\frac{1}{\text{x}}\Big)^{\text{n}}$ is:
$\frac{\text{n}!}{\big[(\text{n}-1)!(\text{n}+1)!\big]}$
$\frac{(\text{2n})!}{\big[(\text{n}-1)!(\text{n}+1)!\big]}$
$\frac{(\text{2n})!}{\big[(\text{2n}-1)!(\text{2n}+1)!\big]}$
None of these.
The coefficient of x-3 in the expansion of $\Big(\text{x}-\frac{\text{m}}{\text{x}}\Big)^{11}$ is: