Question
Evaluate the following limits:
$\lim _{x \rightarrow 5}\left[\frac{x^3-125}{x^5-3125}\right]$
$\lim _{x \rightarrow 5}\left[\frac{x^3-125}{x^5-3125}\right]$
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| Mathematics | Statistics |
| Mean | 20 | 25 |
| S.D. | 2 | 3 |
$\lim _{x \rightarrow 5}\left[\frac{x^3-125}{x^2-25}\right]$
$\lim _{x \rightarrow 0}\left[\frac{\sqrt{6+x+x^2}-\sqrt{6}}{x}\right]$
|
| Brand-I | Brand-II |
| Mean | 36 months | 48 months |
| S.D. | 8 months | 10 months |
Calculate the coefficient of variation of the two brands and interpret the results.
| X | 110 | 88 | 91 | 115 | 97 | 85 | 85 | 91 | 120 | 95 |
| Y | 500 | 800 | 870 | 599 | 625 | 650 | 905 | 700 | 850 | 824 |
| X | 82 | 105 | 99 | 90 | 108 | 124 | 90 | 90 | 111 | 89 |
| Y | 970 | 609 | 990 | 735 | 600 | 735 | 729 | 840 | 999 | 780 |
| X | 112 | 100 | 87 | 92 | 91 | 82 | 96 | 120 | 121 | 122 |
| Y | 638 | 850 | 630 | 720 | 695 | 923 | 555 | 810 | 805 | 526 |