`#thlc`

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`lim(3.2^n+4^n)/(5.3^n-2.4^n)`

 `=lim(4^n(3/4^n .2^n/4^n+4^n/4^n))/(4^n(5/4^n.3^n/4^n-2 .4^n/4^n)` 

`= lim 4^n/4^n . (3/4^n. 2^n/4^n + 1)/(5/4^n . 3^n/4^n - 2.1)`

`= 1 . (0.0+1)/(0.0-2)`

`= 1.  (-1)/2`

`= -1/2`

`=> C`

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