Evaluating limit of (\sqrt{x+2}-2)/(x-2) as x approaches 2

# Category Archives: Calculus

## Problem 2-4: Computing Limits of a Rational Function

Computing Limits of (x^2+2x-3)/(x+3) as x approaches -3 and 3. The case for x ->-3 is an indeterminated form and algebraic elimination is used to solve it.

## Problem 2-3: Solving an Inequality

Solving |2-3x|<3. The graph is also plotted to confirm the solution.

## Problem 2-2: Evaluating Derivative of Functions and the Tangent Lines

Evaluating Derivative of x^2, x^3+x+1 and 1/x and the Tangent Lines at x=-1

## Problem 2-1: Linearity of Functions

Linearity of y=x+1, y=2x+1, y=1, y=x^2+x+1, y=x^1+1, y=1/x, y=sin(x), y=sqrt(x), y=x+1/(1-x), 5x+2y-1=0 and y=x+c^2