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Limits and Derivatives (45 Items)
#1
If lim x->0 (tan ax - sin ax)...AP-EAMCET - 2026
#2
In the interval (-inf,0) the function f(x) =...AP-EAMCET - 2026
#3
lim(x->0) (cos 2x)^(tan x) =AP-EAMCET - 2026
#4
If f(x) = x^2(tan x)(cos 2x) / (3^x(log...AP-EAMCET - 2026
#5
At θ = π/2 the length of the...AP-EAMCET - 2026
#6
If Lagrange's mean value theorem is applied on...AP-EAMCET - 2026
#7
If lim x->0 (sin^2 3x tan^4 5x) /...AP-EAMCET - 2026
#8
limit as x approaches 0 of (e^(3x) -...AP-EAMCET - 2026
#9
If f(x) = 4x/3 + cos x and...AP-EAMCET - 2026
#10
lim x->e (logx)^tanx - 1 / (x -...AP-EAMCET - 2026
#11
The slope of the tangent drawn at a...AP-EAMCET - 2026
#12
The tangent and the normal drawn at a...AP-EAMCET - 2026
#13
If the maximum value of x^(alpha)(24-x)^(beta) exists at...AP-EAMCET - 2026
#14
If integral e^sin^3 x (sin^8 x + 2...AP-EAMCET - 2026
#15
lim n→∞ Σ r=1 to n 1/n sqrt((n+r)/(n-r))...AP-EAMCET - 2026
#16
If lim x->2 sin(x^3 - 5x^2 + ax...JEE-MAIN - 2026Solve ➔
#17
The number of critical points of the function...JEE-MAIN - 2026Solve ➔
#18
Let f(x) be a polynomial of degree 5,...JEE-MAIN - 2026Solve ➔
#19
Let f(x) = integral (16x + 24)/(x^2 +...JEE-MAIN - 2026Solve ➔
#20
If the area of the region bounded by...JEE-MAIN - 2026
#21
The number of points in the interval [2,...JEE-MAIN - 2026
#22
If y = tan^-1((3cos x - 4sin x)/(4cos...JEE-MAIN - 2026Solve ➔
#23
The number of points, at which the function...JEE-MAIN - 2026
#24
The area of the region bounded by the...JEE-MAIN - 2026Solve ➔
#25
The integral integral_0^1 cot^-1(1+x+x^2) dx is equal to:JEE-MAIN - 2026Solve ➔
#26
Let f(x) = { e^(x-1) , x <...JEE-MAIN - 2026
#27
The area of the region R = {(x,y)...JEE-MAIN - 2026Solve ➔
#28
The product of all possible values of alpha,...JEE-MAIN - 2026Solve ➔
#29
The value of the integral integral_0^infinity (log_e (x))/(x^2+4)...JEE-MAIN - 2026Solve ➔
#30
Let f(x) = lim y→0 (1 - cos(xy))...JEE-MAIN - 2026Solve ➔
#31
Let f: [1, ∞) → R be a...JEE-MAIN - 2026Solve ➔
#32
Let lim x->2 (tan(x - 2))(rx^2 + (p...JEE-MAIN - 2026Solve ➔
#33
The area of the region (x, y): x^2...JEE-MAIN - 2026Solve ➔
#34
Let f(x) = { x^3 + 8 ;...JEE-MAIN - 2026
#35
For the function f(x) = e^sin|x| - |x|,...JEE-MAIN - 2026Solve ➔
#36
Let f: (1, ∞) →R be a function...JEE-MAIN - 2026Solve ➔
#37
Let f(x) = { 1/3 , x <=...JEE-MAIN - 2026Solve ➔
#38
The value of lim x->0 (x^2 sin^2 x...JEE-MAIN - 2026Solve ➔
#39
For α, β, γ ∈ R, if lim...JEE-MAIN - 2025Solve ➔
#40
If lim x->0 (cos(2x) + acos(4x) - b)...JEE-MAIN - 2025Solve ➔
#41
If lim x->0 (tan x / x)^(1/x^2) =...JEE-MAIN - 2025
#42
Let f be a differentiable function on R...JEE-MAIN - 2025Solve ➔
#43
lim_{x -> 0^+} tan(5(x)^(1/3)) log_e(1+3x^2) / (tan^-1 3sqrt(x))^2...JEE-MAIN - 2025Solve ➔
#44
If the function f(x) = (tan(tan x) -...JEE-MAIN - 2025
#45
Given below are two statements: Statement I :...JEE-MAIN - 2025Solve ➔