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  • Class 11 Maths Study Material

An Educational platform for Preparation and Practice Class 11. Kidsfront provide unique pattern of learning Maths with free online comprehensive study material in the form of QUESTION & ANSWER for each Chapter of Maths for Class 11. This study material help Class 11, Maths students in learning every aspect of Calculus. Students can understand Calculus concept easily and consolidate their learning by doing Online Practice Tests on Maths,Calculus chapter repeatedly till they excel in Class 11, Calculus. Free ONLINE PRACTICE TESTS on Class 11, Calculus comprise of Hundreds of Questions on Calculus, prepared by the highly professionals team. Every repeat test of Calculus will have new set of questions and help students to prepare themselves for exams by doing unlimited Online Test exercise on Calculus. Attempt ONLINE TEST on Class 11,Maths,Calculus in Academics section after completing this Calculus Question Answer Exercise.


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Calculus
True or false: let x be a variable and a be a constant. If x takes values greater than a and approaches to a, then we say that x tends to a from left and write it as:x → a?

a) TRUE
b) FALSE
c) Maybe
d) None of these



Answer
Correct Answer Is : FALSE
Solution Is :
Evaluate: lim (x →2) (x - 2 / x 2 + x - 6 )

a) ( 1 / 2 )
b) ( 1 / 3 )
c) ( 1 / 4 )
d) ( 1 / 5 )



Answer
Correct Answer Is : ( 1 / 5 )
Solution Is :
Evaluate: lim (x →3)[(1 / x - 3) (2 / x2 - 4x + 3 )

a) ( 1 / 2 )
b) ( 1 / 3 )
c) ( 1 / 4 )
d) ( 1 / 5 )



Answer
Correct Answer Is : ( 1 / 2 )
Solution Is :
Evaluate: lim (x →4)(x4 - 64x / √(x2 + 9 -5))

a) 0
b) 24
c) 204
d) 240



Answer
Correct Answer Is : 240
Solution Is :
Lim (θ →0) (sin θ/θ) = ?

a) 0
b) 1
c) -1
d) ( 1 / 2 )



Answer
Correct Answer Is : 1
Solution Is :
The open interval (a-δ,a+δ), this open interval is called δ neighbourhood of a, it is denoted by:

a) Nδ(x)
b) Nδ(a)
c) Nδ(a-x)
d) Nδ(x-a)



Answer
Correct Answer Is : Nδ(a)
Solution Is :
Evaluate: lim (x →0) (1- cos 4x/x2 )

a) 2
b) 4
c) 6
d) 8



Answer
Correct Answer Is : 8
Solution Is :
True or false:as x → a we have x ≠ a, it means x ∊ Nδ(a) + {a}.

a) TRUE
b) FALSE
c) Maybe
d) None of these



Answer
Correct Answer Is : FALSE
Solution Is :
Evaluate: lim (x →a) (sin x - sin a/x - a)

a) Sin a
b) Cos a
c) Sin a - cos a
d) Sin a + cos a



Answer
Correct Answer Is : Cos a
Solution Is :
Evaluate: lim (x →0) (3^x + 3^(-x)-2/x.tan x)

a) Log 3
b) Log 2
c) (log 3)2
d) (log 2)3



Answer
Correct Answer Is : (log 3)2
Solution Is :
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