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Engineering Maths · Q192

Calculus

Engineering and GATE · Engineering Maths · question 192

Q192

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 differential 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
Answer
C.
P is false, Q is true, R is false
D.
P is true, Q is false, R is true

Answer: Option B

Solution

Answer: Option B
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