Which of the following statements are true? There can be multiple true statements; indicate all of them. Select 3 correct answer(s) 1). If a function f(x) is differentiable at x=t, it also has to be continuous at x=t. 2). If a function f(x) is continuous at x=t, it also has to be differentiable at x=t. 3). If a function f(x) is not differentiable at x=t, it cannot be continuous at x=t. 4). If a function f(x) is not continuous
Which of the following statements are true? There can be multiple true statements; indicate all of them. Select 3 correct answer(s) 1). If a function f(x) is differentiable at x=t, it also has to be continuous at x=t. 2). If a function f(x) is continuous at x=t, it also has to be differentiable at x=t. 3). If a function f(x) is not differentiable at x=t, it cannot be continuous at x=t. 4). If a function f(x) is not continuous
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Which of the following statements are true? There can be multiple true statements; indicate all of them. Select 3 correct answer(s)
1). If a function f(x) is
2). If a function f(x) is continuous at x=t, it also has to be differentiable at x=t.
3). If a function f(x) is not differentiable at x=t, it cannot be continuous at x=t.
4). If a function f(x) is not continuous at x=t, it cannot be differentiable at x=t.
5). If a function f(x) is differentiable at x=t, then the limit of f(x) as x→t is equal to f(t).
6). If the limit of f(x) as x→t is equal to f(t), then f is differentiable at x=t.
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