continuity at a point

1. We say that f(x) is continuous if f(x) is continuous at every point in its domain. 2. If f and g are two continuous functions then f + g, f - g, fg are continuous functions. 3. Every polynomial function is continuous. ..

Continuity at a Point - A function f (x) is said to be continuous at x = a ifA function f (x) is said to be continuous at x = a if f (a) exist..

Paul scored 18 points in first 3 games. If he continues at this rate, how many points will he score in 5 games? => 26 or 32 or 30 or 34..

A function f(x) is said to be continuous in an interval I, if it is continuous at each point of I. then x can approach c both from the left and the right and so for f (x) to be continuous at c, we must have If the interval I is the closed interval [a,b], then..

In an equilateral triangle of side 14 cm , the mid points of the sides are joined to form another triangle. Again the midpoints of the sides of new triangle are joined to form another triangle. If this is continued, find the sum of the perimeters of all the triangles so formed. ..

A square is constructed with a side of length 36 cm . A second square is constructed inside by joining the mid points of the sides of 1 st square. If this is continued, then find the sum of the areas of all the squares. => 2592 sq cm or Cannot be determined or 2268 sq cm or 1296..

Introduction - The concept of limits leads to define and describe continuity and derivative of the function. The continuity of a function has practical as well as theoretical importance. We plot graphs by taking the values generated in the laboratory or collected in the field. W..

The concept of limits leads to define and describe continuity and derivative of the function. The continuity of a function has practical as well as theoretical importance. We plot graphs by taking the values generated in the laboratory or collected in the field. We connect the p..

This was proposed by Weismann who did not agree with Lamarck's theory of inheritance of acquired characters. To prove his point, he cut off the tails of many successive generations of mice. This resulted in forced disuse of the tail. According to the theory of use and disuse, the tails s..

Identify the incorrect statement. I. The histogram is a graph that displays the data by using continuous vertical bars of various heights to represent the frequencies of classes. II. The frequency polygon is a graph that displays the data by using lines that connect points plott..