1.The efficiency of an internal combustion engine is:

efficiency (%) = 100 [1 - (1/(x/y)^c)]

where x/y is the ratio of the uncompressed gas to the compressed gas and C is a positive constant dependent on the engine design. Find the LIMIT of the efficiency as the compression ratio approaches infinity.

MY attempt:
I set that function to lim and I distributed the 100 so mine's looks like this:

100 - (100/(x/y))^c

at this point, i am lost because i don't know where else to go in order to find the limit. help here? thanks

1 answer

Don't expand it, leave it the way it stands

As x/y becomes larger, 1÷ x/y becomes small, and [1 ÷ (x/y)^c] becomes smaller even faster.
So as x/y approaches infinity, [1 ÷ (x/y)^c] approaches zero
and the limit will be 100{1-0] = 100