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1) f(x)=1/x^2 -4 has a removable discontinutiy at x=2. (A) True (B) False 2) lim

ID: 2844854 • Letter: 1

Question

1) f(x)=1/x^2 -4 has a removable discontinutiy at x=2.

(A) True

(B) False

2) lim as x approaches to zero 1-cosx/sinx=0

(A)True

(B)False

3)Find the x-coordinate of each point of discontinuity of f(x)=x-3/x^2+5x-24.

4)Find the x-coordinate of each point of dicontinuity, if any of f(x)=1/5-2sinx.

5)lim as x approaches to pi sin(x-pi)/x-pi=.

6)lim as x approaches to -pi sin(x)/x+pi=.

7)lim as x approaches pi/2 sin(4x)/x=.

8)lim as x approachespi/2 sin(x)/2x=.

9)lim as x approaches 1/2 sin(pi x)/x=.

10)lim as x approaches zero sin(pi x)/x=.

11)cos 11pi/3=.

12) (tan 30 degrees)(cot 30 degrees)=.

13)cos pi-tan(-pi/4)=.

14)cos pi/6=.

15)sin pi/6=.

16)The intermediate value theorem can be used to show that there is a solution to f(x)=-3x^3+2x+1/x =0 on [-2,4].

(A)True

(B)False

17)x^2-3x=2 has at least one solution on the interval [1,4]

(A)True

(B)False

18)f(x)=x^2+3x+1 has at least one root on the interval [-1,0].



Explanation / Answer

1. true

2. true

3. x= 1, -4

4. no discontinuity

5. 1

6. -1

7. 1/2 pi

8. 2

9. pi

10. pi

11. 1/2

12. 1

13. 0

14. root (3)/ 2

15. 1/2

16.true

17. false

18 . true