Page 90 - Bangladesh_classwiz_BOOK2018_rev_Neat

(Key log- w93^p[+1==p5=5=1==qT)

Avevi cÖvß ZvwjKv ‡_‡K I mswkøó ( ) Gi gvb QK KvM‡R we›`y wn‡m‡e ¯’vcb Ki‡j ‡jLwPÎwU cvIqv hv‡e|

15| Gi gvb †ei Ki‡Z n‡e, hLb
1
= (1 + )

1
mgvavb- †`Iqv Av‡Q, = (1 + ) | Gi gvb †ei Kivi Rb¨ Gi GKwU gvb ewm‡q wb‡Pi g‡Zv K‡i

K¨vjKz‡jU‡i cÖ‡ek Kwi‡q = Pvc‡j GKwU gvb cvIqv hv‡e| hv Gi gv‡bi KvQvKvwQ| wb‡Pi wZbwU w¯Œb n‡Z

‡`Lv hvq ‡h, n Gi gvb hZ eo nq, ‡mwU Z‡Zv ≈ 2.718281828459 Gi mwVK gv‡bi KvQvKvwQ nq |

Amxg avivi gva¨‡gI Gi gvb †ei Kiv hvq-

≈ 1 + 1 + 1 + 1 +⋯ n‡Z
1! 2! 3!
GB avivi cÖ_g K‡qKwU c` K¨vjKy‡jU‡i wb‡q Gi gvb m¤ú‡K© aviYv cvIqv hvq, hv wb‡P ‡`Lv‡bv n‡q‡Q |
(qu ‡P‡c d¨v‡±vwiqvj ! wb‡`©kbv cvIqv hvq|)

hw`I gvb¸‡jv cÖvq GKB iKg ZeyI w¯Œb¸‡jv‡Z h_vµ‡g avivi 4 wU, 6 wU I 9 wU c` wb‡q gvb ‡ei Kiv n‡q‡Q

| G¸‡jv n‡Z ‡`Lv hvq ‡h, avivwU Lye `ªæZB (A‡bK ‡ewk c‡`i `iKvi c‡o bv) Gi M«nY‡hvM¨ gv‡bi KvQvKvwQ
hvq |

cieZ©x Aa¨v‡q Av‡iv `¶Zvi mv‡_ avivi gvb Lye mn‡R ‡ei Kivi c×wZ m¤ú‡K© Av‡jvPbv Kiv n‡q‡Q |

aªæeKwUi gvb GZ ¸iæZ¡c~Y© ‡h, ( ) = m~PK dvskbwUi gvb mivmwi K¨vjKy‡jU‡ii gva¨‡g ‡ei Kiv hvq|
‡mRb¨ qh H Kx e¨envi Ki‡Z nq | = 1 Gi Rb¨ Gi gvb wb‡Pi g‡Zv K‡i cÖ`k©b Kiv n‡jv-

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