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Hi, need to submit a 250 words essay on the topic COLLEGE ALGEBRA-DISCUSSION BOARD.Therefore e = 1 + 1/1 + ½ + 1/3 + ¼ …. Alternatively, e =1 + 1 + 1/ (1× 2) + 1/ (1 × 2 × 3) …. This makes e
Hi, need to submit a 250 words essay on the topic COLLEGE ALGEBRA-DISCUSSION BOARD.
Therefore e = 1 + 1/1 + ½ + 1/3 + ¼ …. Alternatively, e =1 + 1 + 1/ (1× 2) + 1/ (1 × 2 × 3) …. This makes e to have special characteristics that makes it a useful constant in mathematics. The first property of e is that it is a transcendental number. This implies that, e cannot be a root of any non-zero polynomial f (x) that has rational coefficients. Other useful mathematical constants are π and i.
The number e has many uses that result directly from its characteristics. The number is useful in calculus where it is used to perform integral and differential operations that involve exponential functions. The number is of particular interest in indefinite integrals since it enables calculation of lower and upper bound for such integrals. The number is also applied in complex analysis as Euler’s identity. In this case cos x + i sin x = eix. In business arithmetic, the function is applied in the calculation of compound interest. Finally, the constant is applied in statistics to calculate Bernoulli
