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Before describing the limits of trigonometric functions, we state few theorems along with Sandwich theorem, which helps in calculating a variety of limits in subsequent chapter..

There is one-one correspondence between the elements of the set A and the set B..

For each element of B there is one corresponding element of ..

For an element of B there is more than one element of A..

An equation is an equality connecting some unknowns. The unknowns are represented by "letters" and are called "the variables". If the equation has only one unknown, it is called "an equal in one variable". The word "Linear" means "of degree one". Hence if only a sing..

Linear Equations in One Variable - An equation is an equality connecting some unknowns. The unknowns are represented by "letters" and are called "the variables". If the equation has only one unknown, it is called "an equal in one variable". The word "Linear" means "of ..

A function which is not 1-1..

Linear Equations in One Variable - An equation of one variable and of first order (i.e., its highest power is one) is called a Linear equation. Such an equation has only one solution. A solution is also called the 'root' of the given equation.An equation of h..

Consider the equation x = 0, x = 1, y = 0, y = -2. i) x = 0 represents y-axis. ii) x = 1 represents line parallel to y-axis. iii) y = 0 represents x-axis. iv) y = -2 represents line parallel to x-axis...

Graph the following: x > 2 and y < 3 The solution set of the system of linear simultaneous inequations is the set of all points (x, y) which satisfies the given set of inequations. In the above graph, the common area of the inequations (shaded area) represents solution set. y < 3 is th..