Question

Notify Me Bookmark

Explain why the function is discontinuous at the given number a. (Select all that apply.) f(x) = {cos⁡(x) if x < 0 0 if x = 0 1−x2 if x > 0 a = 0 limx→0+f(x) and limx→0−f(x) are finite, but are not equal. f(0) is undefined. limx→0 f(x) does not exist. f(0) and limx→0 f(x) are finite, but are not equal. none of the above Sketch the graph of the function.

Explain why the function is discontinuous at the given number a. (Select all that apply.) f(x) = {cos⁡(x) if x < 0 0 if x = 0 1−x2 if x > 0 a = 0 limx→0+f(x) and limx→0−f(x) are finite, but are not equal. f(0) is undefined. limx→0 f(x) does not exist. f(0) and limx→0 f(x) are finite, but are not equal. none of the above Sketch the graph of the function.

Image text
Explain why the function is discontinuous at the given number a . (Select all that apply.)
f ( x ) = { cos ⁡ ( x ) if x < 0 0 if x = 0 1 − x 2 if x > 0 a = 0
lim x → 0 + f ( x ) and lim x → 0 − f ( x ) are finite, but are not equal. f ( 0 ) is undefined. lim x → 0 f ( x ) does not exist. f ( 0 ) and lim x → 0 f ( x ) are finite, but are not equal. none of the above
Sketch the graph of the function. (1) (i)

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

Explain why the function is discontinuous at the given number a. (Select all that apply.) f(x) = {cos⁡(x) if x < 0 0 if x = 0 1−x2 if x > 0 a = 0 limx→0+f(x) and limx→0−f(x) are finite, but are not equal. f(0) and limx→0 f(x) are finite, but are not equal. f(0) is undefined. limx→0 f(x) does not exist. none of the above Sketch the graph of the function.
Solution
0 0

Explain why the function is discontinuous at the given number a. (Select all that apply.) f(x) = {2x2−9 x−5 x−5 if x ≠ 5 10 if x = 5 a = 5 limx→5+ f(x) and limx→5− f(x) are finite, but are not equal. f(5) and limx→5 f(x) are finite, but are not equal. limx→5 f(x) does not exist. f(5) is undefined. none of the above Sketch the graph of the function.
Solution
0 0

Explain why the function is discontinuous at the given number a. (Select all that apply.) f(x) = {x2−4x x2−16 if x ≠ 41 if x = 4 a = 4 f(4) is defined and limx→4 f(x) is finite, but they are not equal. f(4) is undefined. limx→4 f(x) does not exist. limx→4+f(x) and limx→4−f(x) are finite, but are not equal. none of the above Sketch the graph of the function.
Solution
0 0