Limits theorems are used to find a limit for function that may be comprised of many terms. Using the theorems split the original function into 2 or more functions and evaluate the limits to each part seperately. Then recombine each individual limit to get the limit of the original function. (more…)
If you have an equation and want to solve for an unknown in the exponent simply take the logarithm of both sides and apply the indices/logarithms laws.
An example follows: (more…)
As discussed in graphs of exponential functions the most informative approach is to view the general form
as a set of transformations.
These transformations are summarised here in tabular form. (more…)
By comparing logarithmic functions with the simple form it is easy to sketch their graphs using a transformational approach. (more…)
By comparing exponential and logarithmic functions with their simplest forms it is easy to sketch their graphs using a transformational approach.
Craig Rose
