`f(x)= |{:(cos x,,x,,1),(2sin x ,,x^(2),,2x),(tanx ,, x,,1):}|` then find the value of
`lim_(xto 0) (f(x))/(x)`

Explanation

`f(x) = |{:(-sin x,,1,,0),(2 sin x ,,x^(2),,2x),(tan x,,x,,1):}|+|{:(cos x,,x ,,1),(2 cos x ,,2x,,2),(tan,,x,,1):}|+|{:(cos x,,x,,1),(2 sin x,,x^(2),,2x),(sec^(2),,1,,0):}|`
`rArr f'(0)= |{:(0,,1,,0),(0 ,,0,,0),(0,,0,,1):}|+|{:(1,,0 ,,1),(2 ,,0,,2),(0,,0,,1):}|+|{:(1,,0,,1),(0,,0,,0),(1,,1,,0):}|=0`
Now `underset(x to 0)("lim") (f(x))/(x)=underset( x to 0)("lim") f(x)`
`=f(0)=0`