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Question
Select the correct answer from the given alternatives.
`lim_(x -> 0) ((5sinx - xcosx)/(2tanx - 3x^2))` =
Options
0
1
2
3
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Solution
2
Explanation;
`lim_(x -> 0) ((5sinx - xcosx)/(2tanx - 3x^2))`
= `(lim_(x -> 0) ((5sinx)/x - cosx))/(lim_(x -> 0) ((2tanx)/x - 3x))`
= `(5(1) - cos0)/(2(1) - 3(0))`
= 2
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