# Limits at Infinity

We can use the knowledge of limits to explore functions for extreme values of $x$, which is the limits of infinity.$x \rightarrow \infty$ to mean when $x$ gets as large as we like and positive,$x \rightarrow -\infty$ to mean when $x$ gets as large as we like and negative. We read: $x \rightarrow \infty$ as […]

# Definition of Limits

The concept of a limit is essential to differential calculus. We will see that calculating limits is necessary for finding the gradient of a tangent to a curve at any point on the curve. Consider the following table of values for $f(x)=x^2$ where $x$ is less than $3$ but increasing and getting closer and closer […]