Hi, can anyone help me approach the following problems:
Find the limit, or explain why it does not exist.
1) lim (1-|x|) / (x-1) as x-->1
2) lim ((sq. rt(1-h))-1) / h as h-->0
Using a computer or calculator, estimate the following limits. Use the technology to sketch the graph of the function to check the accuracy of your estimate.
lim (e^(2x) -1 ) / x as x-->0
I know for this last one it says to use a calculator or computer.. but then I really find no point in even doing the problem at all if we can just use a calculator. So is there a way to solve this limit algebraically? Is there an easy way to graph this as well? Or do I just have to sub in values and graph from the table of values?