Assignment 1
Q.1. Find the number of terns of the exponential series such that their sum gives
the value of el correct to six decimal places at x = 1.
Answers
Answer:
plz write your ques correctly..
Step-by-step explanation:
Answer:
Step-by-step explanation:
e^x =( 1) +( x) + (x^2 / 2!) + (x^3 / 3!) + (x^4 / 4!) + ...........................
we know that
e^1 = e = 2.71828182
put x = 1 in equcation
e = 1 + 1 + (1/2) + (1^2 /2!).....................................
sum of first terms is = 1
sum of first two terms is = 2
sum of first 3 terms is = 2.5
sum of first 4 terms is = 2.66666666
sum of first 5 terms is = 2.70833333
sum of first 6 terms is = 2.71666666
sum of first 7 terms is = 2.71805556
sum of first 8 terms is = 2.71825396
sum of first 9 terms is = 2.71827877
sum of first 10 terms is = 2.71828152
sum of first 11 terms is = 2.718281801
sum of first 12 terms is = 2.71828182
so sum of 12 terms is give correct value up to 8 decimal places
so answer is 12 terms