## Limits and Derivatives Quiz-9

From nature, we Derived that we humans have our own Limits. Calculus would be any math students nightmare. But Limits and Derivatives which make up about half of the calculus are like an oasis in the desert of difficulty. Let’s get a good grasp on these subjects from the questions below. These questions are important in achieving your success in JEE and Other Engineering Exams..

Q1.
•  Exists and it equals √2
•   Exits and it equals -√2
•   Does not exist because x-1→0
•  Does not exist because the left-hand limit is not equal to the right-hand limit
Solution
Q2.
•   2
•   -2
•   1
•   -1
Solution
Q3.
•   e-a
•   -a
•   e1-a
•   e1+a
Solution

Q4.
•   f(x)f(y)
•   f(x)+f(y)
•   f(x)- f(y)
•   None of These
Solution
Q5.
•  0
•   1/12
•   1/24
•   1/64
Solution
Q6.
•   -1
•   2
•   √5
•  3
Solution
Q8.
•  (8/Π)f(2)
•  (2/Π)f(2)
•  (2/Π)f(1/2)
•  4f(2)
Solution
Q9.
•   (i) exists, (ii) does not exist
•   (i) does not exist, (ii) exists
•   Both (i) and (ii) exist
•   Neither (i) nor (ii) exists
Solution
Q10.
•
•
•
Solution

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