Published by:
CGP EDU Academic Team
Published on: August 11, 2026
Evaluate the following limits :
(i) 
(ii) 
(tan x) cosx
(iii) 
([x]) 1–x , where [ . ] denotes greatest integer function
(iv) 
e tanx
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(i) 1 (ii)1 (iii) 0 (iv) 0
Sol. (i) 
((0) 0 form :i )
Let y = 
⇒ y = 
⇒ y = 
⇒ y = 
= e 0 = 1
(ii) 
(tan x) cosx
⇒ y = 
⇒ y = 
⇒ y = 
⇒ y = 
⇒ y = e 0 = 1
(iii) 
([x]) 1–x ; 
[1 – h] 1 – (1 – h) ; 
(0) h = 0
(iv) Let y = x– 
; 
= 
= 0
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