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³ >Y m = 3 r ¡§ ° m = 3 = n = 1 r = n = 2x;Z³§ N(A) = f0g > » Ax = 2 0 1 3 1 ¨ Q± » Q§x \U 8 ³ ¦ » § » 3 Q±³» 6 ³ Q§V 4 8 0 5 7 Ax = 0;I W I ¸ « á ñ Ï Ã ² c ¤ ) @ « á ñ Ï ¥ è Ã Ì k Ì Ö v ) { ¦ ñ Æ ç ñ Ù é ) { ¹ Ý È ê K ê ê ) { ¹ Ý È ê Î ¢ ¨ Ä ­ Ì ë ¶ O ¨ x The limit is less than 1, independent of the value of x It follows that the series converges for all x That is, the interval of convergence is −∞ < x < ∞ Actually the sum is equal to the exponential function Σ xn n!

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(4)(3)(2)(1) P(3) = (5)(5)(5) (5) (1) (3)(2)(1) 4 P(3) = = 25 16 This is the same answer found in a binomial distribution table for 4 trials, using 3 successes and a probability of 5, or 1/2, on each trial The table eliminates the need for the computation and is very useful when more than one problem or a multy step problem isü ´ í r í ñ r î ì ì õ î r ð ï î r õ ô ô î í ó W ì ì î ð W ì ì ç ¦ à u ^ Ñ é } » Ó Æ Ç è ñ ­ í ñ Ç è ñ ­ ;W M X X A similar calculation shows W M Y Y Thus º³ c c 1 11 ˆ ˆ BV DNE EX X X Study Resources Main Menu;

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If G X Is The Inverse Function Of F X And F X 11 X 4 Then G X Is