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8th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781305270336

Chapter E, Problem 36E

Textbook Problem

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Find the number *n* such that

To determine

**To find:** The number *n* such that

**Theorem used:**

Let *c* be a constant and *n* be a positive integer. Then,

**Calculation:**

By the above theorem, it is given that

Thus, the expression

Solve the equation
*n*.

The equation
*n*

Single Variable Calculus: Early Transcendentals

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Ch. E - Write the sum in expanded form. 1. i=15iCh. E - Write the sum in expanded form. 2. i=161i+1Ch. E - Write the sum in expanded form. 3. i=463iCh. E - Write the sum in expanded form. 4. i=46i3Ch. E - Write the sum in expanded form. 5. k=042k12k+1Ch. E - Write the sum in expanded form. 6. k=58xkCh. E - Write the sum in expanded form. 7. i=1ni10Ch. E - Write the sum in expanded form. 8. j=nn+3j2Ch. E - Write the sum in expanded form. 9. j=0n1(1)jCh. E - Write the sum in expanded form. 10. i=1nf(xi)xi

Ch. E - Write the sum in sigma notation. 11. 1+2+3+4++10Ch. E - Write the sum in sigma notation. 12. 3+4+5+6+7Ch. E - Write the sum in sigma notation. 13....Ch. E - Write the sum in sigma notation. 14....Ch. E - Write the sum in sigma notation. 15. 2+4+6+8++2nCh. E - Write the sum in sigma notation. 16....Ch. E - Write the sum in sigma notation. 17. 1 + 2 + 4 + 8...Ch. E - Write the sum in sigma notation. 18....Ch. E - Write the sum in sigma notation. 19. x+x2+x3++xnCh. E - Write the sum in sigma notation. 20....Ch. E - Find the value of the sum. 21. i=48(3i2)Ch. E - Find the value of the sum. 22. i=36i(i+2)Ch. E - Find the value of the sum. 23. j=163j+1Ch. E - Find the value of the sum. 24. k=08coskCh. E - Find the value of the sum. 25. n=120(1)nCh. E - Find the value of the sum. 26. i=11004Ch. E - Find the value of the sum. 27. i=04(2i+i2)Ch. E - Find the value of the sum. 28. i=2423iCh. E - Find the value of the sum. 29. i=1n2iCh. E - Find the value of the sum. 30. i=1n(25i)Ch. E - Find the value of the sum. 31. i=1n(i2+3i+4)Ch. E - Find the value of the sum. 32. i=1n(3+2i)2Ch. E - Find the value of the sum. 33. i=1n(i+1)(i+2)Ch. E - Find the value of the sum. 34. i=1ni(i+1)(i+2)Ch. E - Find the value of the sum. 35. i=1n(i3i2)Ch. E - Find the number n such that i=1ni=78.Ch. E - Prove formula (b) of Theorem 3.Ch. E - Prove formula (e) of Theorem 3 using mathematical...Ch. E - Prove formula (e) of Theorem 3 using a method...Ch. E - Prove formula (e) of Theorem 3 using the following...Ch. E - Evaluate each telescoping sum. (a) i=1n[i4(i1)4]...Ch. E - Prove the generalized triangle inequality:...Ch. E - Find the limit. 43. limni=1n1n(in)2Ch. E - Find the limit. 44. limni=1n1n[(in)3+1]Ch. E - Find the limit. 45. limni=1n2n[(2in)3+5(2in)]Ch. E - Find the limit. 46. limni=1n3n[(1+3in)32(1+3in)]Ch. E - Prove the formula for the sum of a finite...Ch. E - Evaluate i=1n32i1.Ch. E - Evaluate i=1n(2i+2i).Ch. E - Evaluate i=1m[j=1n(i+j)].

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