Example 3 - Chapter 8 Class 11 Binomial Theorem (Deleted)
Last updated at Jan. 29, 2020 by Teachoo
Last updated at Jan. 29, 2020 by Teachoo
Transcript
Example 3 Which is larger (1.01)1000000 or 10,000? (1.01)1000000 = (1 + 0.01)1000000 We know that (a + b)n = nC0 an + nC1 an – 1 b1 + nC2 an – 2 b2 + ….…. + nCn – 1 a1 bn – 1 + nCn bn Hence (a + b)1000000 = 1000000C0 a1000000 b0 + 1000000C1 a999999 b1 +………….. = 1000000/0!(1000000 − 0)! a1000000 × 1 + (1000000 !)/(1!(1000000 − 1)!) a999999 b + …… = 1000000!/(1 × 1000000!) a1000000 + (1000000 × 999999 !)/(1 × 999999!) a999999 b + …… = a1000000 + 1000000a999999 b +……………… (a + b)1000000 = a1000000 + 1000000a999999 b +……………… Putting a = 1 & b = 0.01 (1 + 0.01)1000000 = (1)1000000 + 1000000 (1)99999 . (0.01) +……………… = 1 + 1000000 (1) × (0.01) +…………………… = 1 + 10000.00 +………………. = 10001 + …. > 10, 000 Hence , (1.01)1000000 is larger than 10,000
Examples
Example 2 Important Deleted for CBSE Board 2022 Exams
Example 3 Important Deleted for CBSE Board 2022 Exams You are here
Example 4 Deleted for CBSE Board 2022 Exams
Example 5 Important Deleted for CBSE Board 2022 Exams
Example 6 Important Deleted for CBSE Board 2022 Exams
Example 7 Deleted for CBSE Board 2022 Exams
Example 8 Important Deleted for CBSE Board 2022 Exams
Example 9 Deleted for CBSE Board 2022 Exams
Example 10 Important Deleted for CBSE Board 2022 Exams
Example 11 Important Deleted for CBSE Board 2022 Exams
Example 12 Deleted for CBSE Board 2022 Exams
Example 13 Important Deleted for CBSE Board 2022 Exams
Example 14 Important Deleted for CBSE Board 2022 Exams
Example 15 Important Deleted for CBSE Board 2022 Exams
Example 16 Deleted for CBSE Board 2022 Exams
Example 17 Important Deleted for CBSE Board 2022 Exams
Examples
About the Author