Questions from General Calculus

Q: Use Definition 1 to prove that limx→0 x3 = 0

Use Definition 1 to prove that limx→0 x3 = 0

Q: Write the sum in expanded form. ∑5i=1

Write the sum in expanded form. ∑5i=1 √i

Q: Write the sum in expanded form. ∑nj=1

Write the sum in expanded form. ∑nj=1 f (xi) ∆xi

Q: Write the sum in sigma notation. 1+ 2 +

Write the sum in sigma notation. 1+ 2 + 3 + 4 + … + 10

Q: Write the sum in sigma notation. √3 + √

Write the sum in sigma notation. √3 + √4 + √5 + √6 + √7

Q: Write the sum in sigma notation. 1/2 +

Write the sum in sigma notation. 1/2 + 2/5 + 3/4 + 4/5 + … + 19/20

Q: (a). Find the partial fraction decomposition of the function

(a). Find the partial fraction decomposition of the function (b). Use part (a) to find ff (x) dx and graph f and its indefinite integral on the same screen. (c). Use the graph of f to discover the m...

Q: Write the sum in sigma notation. 3/7 +

Write the sum in sigma notation. 3/7 + 4/8 + 5/9 + 6/10 + … 23/27

Q: Write the sum in sigma notation. 2 + 4 +

Write the sum in sigma notation. 2 + 4 + 6 + 8 +… + 2n

Q: Write the sum in sigma notation. 1 + 3 +

Write the sum in sigma notation. 1 + 3 + 5 + 7+… + (2n – 1)