Fragment of Fear at night by two men who leave him lying on the ground with a hypodermic needle. Tim throws the needle away down a gutter. He makes contact with a secret government agency which tells him that they are after the people who are threatening him, but all is - again - not what it seems to be. As the situation continues, Tim and Juliet's wedding fast approaches. Fragment of Fear Fragment of Fear is a 1970 British thriller film, adapted from the book "A Fragment of Fear" by John Bingham, starring David Hemmings, Gayle Hunnicutt, Wilfrid Hyde-White, Roland Culver, Flora
Proof that e is irrational 1. For all terms with we have the upper estimate This inequality is strict for every "n" ≥ "b" + 2. Changing the index of summation to "k" = "n" – "b" and using the formula for the infinite geometric series, we obtain Since there is no integer strictly between 0 and 1, we have reached a contradiction, and so "e" must be irrational. Q.E.D. Another proof can be obtained from the previous one by noting that and this inequality is equivalent to the assertion that "bx" < 1. This is impossible, of course, since "b" and "x" are natural