Find the limit (if it exists). (If an answer does not exist, enter DNE.) Find th

Question

Find the limit (if it exists). (If an answer does not exist, enter DNE.) Find the x-values at which f is not continuous. Are these discontinuities removable? (Use k as an arbitrary integer. If an answer does not exist, enter DNE.) Find the x-values at which f is not continuous. Which of the discontinuities are removable? (Enter your answers from smallest to largest. Enter NONE in any unused answer blanks.) Find the x-values at which f is not continuous. Which of the discontinuities are removable? (Enter your answers from smallest to largest. Enter NONE in any unused answer blanks.) Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c guaranteed by the theorem.

Explanation / Answer

1)

0

3)

- 1 continious

1 continious

2) tan(pix/2)

x = 1 not continious

4)

x= 3 removable

x = -3 removable

5_

x^2+1 = 6(x-1)

x^2-6x+2=0

x = 6+root(36-8)

x = 6+root 24

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