HW 1, MA 1023 Due 1/24

Find the limits in Exercises 1-4.

1.

sin(x²) 3x³ +3

1)xlim0 x 2)xlim1 4x3x +3

2.

5x23x ex +x2

1)xlim 7x2 +1 2)xlim ex +x

3.

1) lim x²lnx 2) lim x²(lnx)² x0+ x0

4.

xe^x 3x +1 1

1)lim ex1 2)xlim0+( x sinx) x0 Evaluate the integrals in Exercises 5-8.

5.

Z Z 2

1 2

1) 0 x +2dx 2) x2 +1dx

6.

Z 1 Z 4

1 1 1) dx 2) dx

0 x 0 4x

7. Z

2x

dx

8.

Z 1

1 1 dx

8x3