DPP for JEE: Daily Practice Problems- Limits & Derivatives (Solutions)

 Page 2


and is of (1
8
) form
=
 
2. (a) We have,
 
3. (c) 
[using ax
2
 + bx + c = a (x – a) (x – ß)]
Page 3


and is of (1
8
) form
=
 
2. (a) We have,
 
3. (c) 
[using ax
2
 + bx + c = a (x – a) (x – ß)]
4. (d) Putting x = , we get
( Q x?8 y?0)
Page 4


and is of (1
8
) form
=
 
2. (a) We have,
 
3. (c) 
[using ax
2
 + bx + c = a (x – a) (x – ß)]
4. (d) Putting x = , we get
( Q x?8 y?0)
[using L'Hospital rule]
5. (d) Let [a] = n, then 
 = e – 2
and  
=
?  Limit does not exist.
6. (d) Consider
=  = 
= 
= e
?\3
 (log a + log b + log c) = 
7. (c) Area of 
Page 5


and is of (1
8
) form
=
 
2. (a) We have,
 
3. (c) 
[using ax
2
 + bx + c = a (x – a) (x – ß)]
4. (d) Putting x = , we get
( Q x?8 y?0)
[using L'Hospital rule]
5. (d) Let [a] = n, then 
 = e – 2
and  
=
?  Limit does not exist.
6. (d) Consider
=  = 
= 
= e
?\3
 (log a + log b + log c) = 
7. (c) Area of 
 
8. (a) We have
 
 ( y > x)
In given question, y = 4, x = 5
9. (b) Consider