# Category Archives: Calculus

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

Compute

a)

b)

**Solution**

# Problem 2-3: Solving an Inequality

Solve the inequality .

**Solution**

or

or

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

# Problem 2-1: Linearity of Functions

Which one(s) of the following functions is linear?

a) .

b) .

c) .

d) .

e) .

f) .

g) .

h) .

i) .

j) .

k) . ( is an arbitrary constant).

**Solution**

a) Linear

b) Linear

c) Linear

d) Nonlinear

e) Linear

f) Nonlinear

g) Nonlinear

h) Nonlinear

i) Nonlinear

j) Linear

k) Linear