Calc I exam 1 review

Chapter 2

Average rate of change or average velocity is determined by calculating the slope of a _______

Secant line

Instantaneous rate of change or average velocity is determined by calculating the slope of a

________

tangent line

lim _x—>2 2x² -3x+5

7

lim _x—>5 -13

-13

lim _x—>-ထ -5x³-3x+10

+ထ

lim _x—>ထ x/(x²-13) ; Horizontal asymptote?

0 ; HA—> y=0

lim _x—>ထ (6x⁴ -12x²+9)/(3x⁴ + 7) ; what’s the horizontal asymptote?

2 ; HA—> y=2

lim _x—>0 4x ⁷ cos(x ⁴ )

0

lim _x—>-4 f(x)=?

ထ

lim _x—>2 f(x)=?

DNE

lim _x—>2^- f(x)=?

5

lim _{x—> 3^-} f(x)=?

-ထ

lim _x—>-4 f(x)=?

3

f(-4)=?

2

lim _x—>-ထ 7

7

lim _x—>ထ12 - 5/3x²

12

lim _x—>-ထ -4x ⁴ - 13x ³

-ထ

lim _x—>5 (2x² - 25)/x

5

lim _x—>-3 (4x² - 36)/(x+3)

-24

Evaluate if the function is continuous at x= -1

The function is not continuous at x=-1 becuase the f(-1) is undefined.

Evaluate if the function is continuous at x=2

The function is continuous at x=2 because f(2)=lim x—>2 f(x)

Evaluate the limit of the function

1/4

evaluate the following limit

7/5

lim _x—>3 (x² - 5)/(x - 3)

DNE