QUIZ 4, MAT 370: INTERMEDIATE CALCULUS
Instructor: S. K. Suslov
Name; V231 m
(1) (Extra credit, 3 points) Use the (a, 6) denition of the limit to show that the following limit
exist:
lim (m22m+l):O
92
QUIZ 1, MAT 370: INTERMEDIATE CALCULUS
Instructor: S. K. Suslov
Name:
(1) (5 points) If 3,93 and b are greater then zero and E < E, prove that E < a: + a
<
3:5 yy+b
Date: September 1, 2016.
E
b
QUIZ 2, MAT 370: INTERMEDIATE CALCULUS
Instructor: 8. K. Suslov . .
Name: (1% 54
(l) (5 points) Suppose that a sequence cfw_an _1 converges to 0. namely, limnnoo an = a, and
that an > U for every n S
QUIZ 3, MAT 370: INTERMEDIATE CALCULUS
Instructor: S. K. Suslov .
' ' Name: [2 3:
(1) (5 points) Suppose that xn converges to 0. Show that 1/9) is not bOunded. [Hintz Use a
proof by contradiction]
3C
TEST 1, MAT 370: INTERMEDIATE CALCULUS
Instructor: S. K. Suslov
Nam K2;
(1) (15 points) Solve the following inequality for x E R : [$2 + x| < 2.
Z
~2 < It + 9L< 2; or (x2N1324A
(LIZ-t x_Z>@Z+ JH 2W< G