Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Which of the followings are indeterminate forms. Also state the type.
(i)
, where [ . ] denotes the greatest integer function
(ii)
– x (iii)
(tan x) tan2x
(iv)
,
where { . } denotes the fractional part function
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(i)No (ii)No (iii) Yes, ∞ 0 form (iv) No
Sol. (i)
=
→ Not an indeterminate form
(ii)
– x = ∞ + ∞ = ∞ → Not an indeterminate form
(iii)
(tan x) tan2x = ( ∞ )º form → Yes
(iv)
; 
= (0 ∞ form) = 0 → Not an indeterminate form
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Examine the graph of y = f(x) as shown and evaluate the following limits
(i) f(x) (ii) f(x)
(iii)…
Evaluate the following limits :
(i) (x + sin x) (ii) (tan x – 2 x )
(iii) x cos x (iv) x x
(v)
Evaluate the following limits,
where [ . ] represents greatest integer function and { . } represent…
(i)If f(x) = , evaluate f(x).
(ii)Let f(x) = , if f(x) exist, then find value of λ .
If f(x) = and g(x) = , evaluate f (g(x)).
sin − 1 ((sec x)) is equal to