Given the following statements about a function f: R → R, select the right option:P: If f(x) is continuous at x = x0, then it is also differentiable at x = x0.Q: If f(x) is continuous at x = x0, then it may not be differentiable at x = x0.R: If f(x) is differentiable at x = x0, then it is also continuous at x = x0.

Question

Given the following statements about a function f: R → R, select the right option:P: If f(x) is continuous at x = x0, then it is also differentiable at x = x0.Q: If f(x) is continuous at x = x0, then it may not be differentiable at x = x0.R: If f(x) is differentiable at x = x0, then it is also continuous at x = x0.

TuteeHUB · Accepted Answer

P is false, Q is true, R is false

TuteeHUB · Answer

P is true, Q is false, R is false

TuteeHUB · Answer

P is false, Q is true, R is true

TuteeHUB · Answer

P is true, Q is false, R is true

1.	Given the following statements about a function f: R → R, select the right option:P: If f(x) is continuous at x = x0, then it is also differentiable at x = x0.Q: If f(x) is continuous at x = x0, then it may not be differentiable at x = x0.R: If f(x) is differentiable at x = x0, then it is also continuous at x = x0.
A.	P is true, Q is false, R is false
B.	P is false, Q is true, R is true
C.	P is false, Q is true, R is false
D.	P is true, Q is false, R is true
Answer» C. P is false, Q is true, R is false

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