Limits at infinity:
When in a function the limit at x of f(x) is L, where L is finite if f(x) gets closer to L as x increases and becomes very large then we say that 
And when limit of a function at x → - of f(x) is L, where L is finite if f(x) gets closer to L as x decreases x<0 and |x| is very large hence we say that 
Limits at infinity Sample Questions:
Question 1: Find the limit of
(a) 1
(b) 2
(c) 0
(d) -1
Answer: (c)
Explanation: 
Question 2: Evaluate
(a) 1
(b) 0
(c) 2
(d) -1
Answer: (b)
Explanation:
Question 3: Estimate
(a) 1
(b) -1
(c) 0.5
(d) 0
Answer: (c)
Explanation: 
Question 4: Find the limit of
(a) 1/2
(b) 0
(c) 1
(d) 1/4
Answer: (d)
Explanation:
=
Question 5: 
(a) 1
(b) 0
(c)
(d) n
Answer: (b)
Explanation: All terms tends to 0
Question 6: Given that f(x) g(x) then which of the following is true
Answer: (a)
Explanation: (x) >
, g(x) ≥ f(x) > α
Question 7: If f(x) and g(x) be the functions such that f(a) = 0 and g(a) = 0 and f’(a)=0, g’(a) = 0 then 
(a)
(b)
(c)
(d) None of these
Answer: (c)
Explanation: Applying the L hospital’s rule
Question 8: 
(a) 1
(b) e^2
(c) e
(d) 1/2
Answer: (c)
Explanation: 
Question 9: 
(a) 1
(b) 0
(c) -1
(d) -2
Answer: (b)
Explanation:
Question 10: 
(a) 1
(b) 0
(c) 1/2
(d) -1/2
Answer: (c)
Explanation: Let 1/x = y => x = 1/y, y 