Question

Use algebra to evaluate the limit exactly.
http://www.webassign.net/cgi-perl/symimage.cgi?expr=lim_%28h-%3E0%29%20%281%2F%2811%2Bh%29%20-%201%2F11%29%2Fh

Answer 1

\[\lim_{h \rightarrow 0}\frac{\frac{1}{11+h}-\frac{1}{11}}{h}\]

make the denominators the same so you can add them up

\[\lim_{h \rightarrow 0}\frac{\frac{11}{11(11+h)}-\frac{11+h}{11(11+h)}}{h}\]

then simplify

\[\lim_{h \rightarrow 0}\frac{\frac{-h}{11(11+h)}}{h}\]

then divide out the h

then solve for the limit

Answer 2

woohoo! thankyou! :)