Question

a) What is the numerical value of the golden ratio? b) What is the decimal approximation of e to six decimal places

Answer 1

a) 1.6180339875

b) 2.7182818

Explanation:

a) Golden ratio is the ratio that divides a quantity in such a manner that when the larger quantity is divided by the smaller quantity, it is equal to the value when the whole quantity is divided by the larger quantity. It is also known by the name golden mean or divine ratio.

It is generally denoted by
`\phi`

Its numeric value is: 1.6180339875

b) Approximate value of e can be calculated with the help of taylors expansion of
`e^x` at x = 1.

Approximate value of e upto 6 decimal places: 2.7182818