00:01
In this question, we have to find out the value of e to the power 6.
00:09
We know that e to the power x is equal to 1 plus x plus x squared divided by factorial 2 plus x cube divided by factorial 3 plus x to the par 4 divided by factorial 4 plus x to the power 5 divided by factorial 5 plus x to the power 6 divided by factorial 6 and so on let x is equal to 6 so now e to the power 6 is equal to 1 plus 6 plus 6 square divided by factorial 2 plus 6 cube divided by factorial 3 plus 6 to the power 4 divided by factorial 4 plus 6 to the power 5 divided by factorial 5 and 6 to the power 6 divided by factorial 6 now this value is equal to 1 plus 6 6 divided by 2 plus 6 6 6 divided by 2 plus 6 6 6 divided by 3 and 2 plus 6 6 6 6 .6 divided by 4, 3, 2 and 1 plus 6, 6, 6, 6 divided by 5, 4, 3, 2, 1 plus 6, 6, 6, 6, 6, divided by 5, 4, 3, 2, 1, plus 6, 6, 6, 6, 6, 6, 6, 6.
02:02
6 6, 6 divided by 6, 5, 4, 3, 2.
02:11
So this is cancelled out.
02:16
So the value of e to the power 6 is equal to 1 plus 6 plus 18 plus 36 plus 54 plus 36 9 divided by 5 plus 36 9 divided by 5...