Mathematics Homework Solutions

Estimating Limit of a function from Graphs and Tables of data

Let y=f(x)=x^2+3 Find Limit of f(x) as x approaches 2 using both graph and table

Finding Limit of a function

Evaluate Limit of [{x^2+3*x+2}/{13*x+8}] as x approaches 4

Slope of the line

Find the slope of the line in the graph.

Slope of a curve

Find the slope of the curve at point A in the graph.

Graph of y=x^2 , a parabola

Graph the function y=x^2 by tabulating the values

The domain and range of a square-root function

Let f(x)=sqrt(2*x-6) . Find the largest possible domain for f . Find its range. Also graph the function.

Evaluating limit of absolute value of x as x approaches 0.

Evaluate Limit of f(x)=|x|, where |x| is the absolute value of x, as x approaches 0.

A limit that does not exist

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

Proving a limit exists

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

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