HSC Arts Class 11 - Tamil Nadu Board of Secondary Education Question Bank Solutions

Choose the correct alternative:

`lim_(x -> 0) sqrt(1 - cos 2x)/x`

Choose the correct alternative:

`lim_(theta -> 0) (sinsqrt(theta))/(sqrt(sin theta)`

Choose the correct alternative:

`lim_(x -> oo) ((x^2 + 5x + 3)/(x^2 + x + 3))^x` is

Choose the correct alternative:

`lim_(x - oo) sqrt(x^2 - 1)/(2x + 1)` =

Choose the correct alternative:

`lim_(x -> 0) ("a"^x - "b"^x)/x` =

Choose the correct alternative:

`lim_(x -> 0) (8^x - 4x - 2^x + 1^x)/x^2` =

Choose the correct alternative:

If `f(x) = x(- 1)^([1/x])`, x ≤ 0, then the value of `lim_(x -> 0) f(x)` is equal to

Choose the correct alternative:

`lim_(x -> 3) [x]` =

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`lim_(x -> 0) (x"e"^x - sin x)/x` is

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If `lim_(x -> 0) (sin "p"x)/(tan 3x)` = 4, then the value of p is

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`lim_(alpha - pi/4) (sin alpha - cos alpha)/(alpha - pi/4)` is

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`lim_(x -> oo) (1/"n"^2 + 2/"n"^2 + 3/"n"^2 + ... + "n"/"n"^2)` is

Choose the correct alternative:

`lim_(x -> 0) ("e"^(sin x) - 1)/x` =

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`lim_(x -> 0) ("e"^tanx - "e"^x)/(tan x - x)` =

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The value of `lim_(x -> 0) sinx/sqrt(x^2)` is

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The derivative of f(x)= x|x| at x = – 3 is

Discuss the following relation for reflexivity, symmetricity and transitivity:

The relation R defined on the set of all positive integers by “mRn if m divides n”

Discuss the following relation for reflexivity, symmetricity and transitivity:

Let P denote the set of all straight lines in a plane. The relation R defined by “lRm if l is perpendicular to m”

Discuss the following relation for reflexivity, symmetricity and transitivity:

Let A be the set consisting of all the members of a family. The relation R defined by “aRb if a is not a sister of b”

Discuss the following relation for reflexivity, symmetricity and transitivity:

Let A be the set consisting of all the female members of a family. The relation R defined by “aRb if a is not a sister of b”