Limits and Derivatives

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Question

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Question 1 :

The value of the limit Lim_x→0 (cos x)^{cot2 x} is

1. e^1/2
2. e^-1/2
3. 1
4. e
Answer
8051

Question 2 :

The value of limit Lim_x→0 {sin (a + x) – sin (a – x)}/x is

1. 2 cos a
2. 2 sin a
3. 0
4. 1
Answer
8052

Question 3 :

Lim_x→-1 [1 + x + x² + ……….+ x¹⁰] is

1. 0
2. 1
3. -1
4. 2
Answer
8053

Question 4 :

The value of Lim_x→01 (1/x) × sin^-1 {2x/(1 + x²) is

1. 0
2. 1
3. 2
4. -2
Answer
8054

Question 5 :

Lim_x→0 log(1 – x) is equals to

1. 0
2. 1
3. 1/2
4. None 
Answer
8055