Mathematics Homework Solutions

Exammple of a function continuous over (- infinity, + infinity)

Proove that f(x)=|x| (Absolute value of x) is continuous over the interval (- infinity, + infinity)

Convergence of Series

Determine whether the series Sum(n!/n^n) n=1..infinity is absolutely convergent, conditionally convergent or divergent.

Integration By Trigonometric Substitution: Solving Trickier Problems?

Hello! I'm having trouble using Trigonometric Substitution to find the anti-derrivative of non-simple integrands. For details on my situation, please consult my missive, which I've included as an attachment in MS Word '95 (WordPad compatible) and Adobe PDF (ver 3+) files. (The files contain identical information; if you can r ...continues

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 the curve at a point on 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.

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