CBSE 11th Standard Maths Subject Limits and Derivatives Ncert Exemplar 2 Marks Questions 2021
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CBSE 11th Standard Maths Subject Limits and Derivatives Ncert Exemplar 2 Marks Questions 2021
11th Standard CBSE
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Reg.No. :
Mathematics
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Show that \(\lim _{ x\rightarrow 4 }{ \frac { |x-4| }{ x-4 } } \)does not exist.
(a) -
If the function f(x) satisfies \(\lim _{ x\rightarrow 1 }{ \frac { f(x)-2 }{ { x }^{ 2 }-1 } } =\pi \), then evaluate \(\lim _{ x\rightarrow 1 }{ f(x) } .\) Use the theorem \(\lim _{ x\rightarrow a }{ \frac { f(x) }{ g(x) } } =\frac { \lim _{ x\rightarrow a }{ f(x) } }{ \lim _{ x\rightarrow a }{ g(x) } } \)and simplify it.
(a) -
Evaluate \(\lim _{x \rightarrow \pi / 6} \frac{2 \sin ^{2} x+\sin x-1}{2 \sin ^{2} x-3 \sin x+1}\) by using factorization method
(a) -
Evaluate \(\lim _{x \rightarrow \pi / 6} \frac{\cot ^{2} x-3}{\operatorname{cosec} x-2}\)
(a) -
If \(y=\sqrt { x } +\frac { 1 }{ \sqrt { x } } \) then find \(\frac { dy }{ dx } at\quad x=1\)
(a) -
Evaluate \(\lim_ { x\rightarrow \pi /2 }{ lim } \left( sec \ x-tan \ x \right) .\)
(a) -
Find the derivates of the following function by using first principle.
sin x(a) -
Find the derivates of the following function by using first principle.
sec x(a) -
Find the derivates of the following function by using first principle.
tan x(a) -
Differentiate \(\sqrt{sin x}\) w.r.t. x by first principle method.
(a)
2 Marks