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ЛЕКЦІЇ ² ВПРАВИ

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14.7. ÍÀÁËÈÆÅÍÅ ÇÍÀ×ÅÍÍß ÄÅßÊÈÕ<br />

ÑÒÀËÈÕ<br />

π≈3,1416 e ≈ 2,71828 lg e ≈ 0,4343<br />

1<br />

p ≈ 0,3183 1<br />

e<br />

≈ 0,3679 ln 10 ≈ 2,3026<br />

π 2 ≈ 9,8696 e 2 ≈ 7,3891 1 ðàä³àí ≈ 57°18′<br />

p ≈ 1,7724 e ≈ 1,6487 1° ≈ 0,0174 ðàä³àíà<br />

3<br />

p ≈ 1,4646 3<br />

e ≈ 1,3956<br />

14.8. ÊÂÀÄÐÀÒÈ ÍÀÒÓÐÀËÜÍÈÕ ×ÈÑÅË<br />

<strong>²</strong>Ä 1 ÄÎ 99<br />

0 1 2 3 4 5 6 7 8 9<br />

0 0 1 4 9 16 25 36 49 64 81<br />

1 100 121 144 169 196 225 256 289 324 361<br />

2 400 441 484 529 576 625 676 729 784 841<br />

3 900 961 1024 1089 1156 1225 1296 1369 1444 1521<br />

4 1600 1681 1764 1849 1936 2025 2116 2209 2304 2401<br />

5 2500 2601 2704 2809 2916 3025 3136 3249 3364 3481<br />

6 3600 3721 3844 3969 4096 4225 4356 4489 4624 4761<br />

7 4900 5041 5184 5329 5476 5625 5776 5929 6084 6241<br />

8 6400 6561 6724 6889 7056 7225 7396 7569 7744 7921<br />

9 8100 8281 8464 8649 8836 9025 9216 9409 9604 9801<br />

14.9. ÊÂÀÄÐÀÒͲ ² ÊÓÁ²×Ͳ ÊÎÐÅͲ<br />

n n 10n 3<br />

n<br />

3<br />

10n<br />

3<br />

100n<br />

1 1,00 3,16 1,00 2,15 4,64<br />

2 1,41 4,47 1,26 2,71 5,85<br />

3 1,73 5,48 1,44 3,11 6,69<br />

4 2,00 6,32 1,59 3,42 7,37<br />

5 2,24 7,07 1,71 3,68 7,94<br />

6 2,45 7,75 1,82 3,91 8,93<br />

7 2,65 8,37 1,91 4,12 8,88<br />

8 2,83 8,94 2,00 4,31 9,28<br />

9 3,00 9,49 2,08 4,48 9,65<br />

10 3,16 10,00 2,15 4,64 10,00<br />

516

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