Math Problem Statement

A set of questions related to limits and functions, focusing on evaluating limits, determining continuity, and applying inequalities for given functions.

Solution

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Math Problem Analysis

Mathematical Concepts

Limits
Continuity
Inequalities
Function Behavior Analysis

Formulas

Limit definition: lim(x→a) f(x)
Trigonometric limits: lim(x→0) (1-cos(x))/x = 0, lim(x→0) sin(x)/x = 1
Rational function behavior for large values of x
Squeeze theorem for limits

Theorems

Limit Laws
Squeeze Theorem
Continuity Theorem
Behavior of Rational Functions at Infinity

Suitable Grade Level

Grade 11-12 or early university level