Review of Calculus

Review of Calculus

Review of Calculus

Assignment # 1

Exercise 1

Right Continuity: A function is said to be right continuous when its locus is approaching towards the specified point and reached the point without any jump i.e.

.

Left limit: Left limit of a function exists when the locus approaches to the specified point from left i.e. .

G(x) =

Left limit at x = 0

= = 1.

Left limit at x = 1

= ¦x¦/x = 1.

Right continuity at x = 0

The function can be written as =

The function shows that the function is not right continuous at x = 0.

Similarly, the ...