Mathematics Homework Solutions

A limit that does not exist

Evaluate Limit [|x|/x] as x approaches 0. where |x| represents the absolute value of x.

Proving that a limit exist using the "Epsilon-Delta" Definition of Limit

Prove that Lim (3x)=6 as x approaches 2 using Epsilon-Delta definition.

Evaluating a simple limit

Evaluate Lt [(x2+5x+6)/(2x2-3x)] x→2

Limit of a greatest integer value function

Evaluate limit of [x] as x approaches 2, where [x] is the greatest integral value less than or equal to x.

Calculating an infinite limit

Calculate limit (1/x^2) as x approaches infinity

Limit of trigonometrical functions

Evaluate Limit[tan (a*theeta)/sin(b*theeta)] as theeta approaches zero.

Vertical Shifting of Graphs

Explain about Vertical Shifting of Graphs Using this sketch the graphs of y=x^2+1 and y=x^2-2

Horizontal shifts of graphs

Explain about Horizontal shifts of graphs Sketch the graph of the functions y=(x-1)^2 and y=(x+2)^2

Reflecting a graph about the x-axis

Explain briefly about Reflecting a graph about the x-axis Sketch the graph of y=-x^2

Browse