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Consider the following statements: I. ...

Consider the following statements:
I. The function `f(x)=root3(x)` is continuous at all x except at x = 0
II. The function `f(x)=[x]` is continuous at x = 2.99, where [.] is the bracket function.
Which of the above statements is/are correct?

A

A) Only I

B

B) Only II

C

C) Both I nor II

D

D) Neither I nor II

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The correct Answer is:
B
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PUNEET DOGRA-DIFFERENTION-PREV YEAR QUESTIONS
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  2. Consider the following statements: I. The function f(x)=[x]. Where [...

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  3. Consider the following statements: I. The function f(x)=root3(x) is ...

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  6. Let f(x) be a function defined in 1lexltoo by. f(x)={:[(2-x,"for "1l...

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  7. Let f(x) be a function defined in 1lexltoo by. f(x)={:[(2-x,"for "1l...

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  9. Consider the function f(x)=(1-sinx)/((pi-2x)^(2)) where xne(pi)/(2)and...

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  10. Consider the following statement 1. f(x)=e^(x), where xgt0 2. g(x)...

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  11. A function f RrarrR is defined as f(x)=x^(2) for xge0 and f(x)=-x for ...

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  12. Consider the following statements in respect of a function f(x) I. f...

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  13. The derivative of |x| at x = 0

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  14. Consider the function f(x)={{:(x^(2),"for "xgt2),(3x-2,"for "xle2):}...

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  15. Which one of the following is correct in respect of the function f(x)=...

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  16. Consider the following in respect of the function f(x)=|x-3|. I. f(x...

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  17. Which one of the following functions is differentiable for all real va...

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  18. What is the value of k for which the following function f(x) is contin...

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  19. Which one of the following is correct in respect of the function f(x)=...

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  20. If the function f(x)=(x(x-2))/(x^(2)-4),xnepm2 is continuous at x = 2,...

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