If the graph of the function y=f(x) has ...

If the graph of the function `y=f(x)` has a unique tangent at the point `(a ,0)` through which the graph passes, then evaluate `("lim")_(xveca)((log)_e{1+6f(x)})/(3f(x))`

none of these

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The correct Answer is:

The point `(a,0) ` lies on the curve `y=f(x)`.
Therefore,
`lim_(xtoa)(log{1+6f(x)})/(3f(x))" "[(0)/(0)"from"]`
` =2lim_(xtoa)(log{1+6f(x)})/(6f(x))=2xx1=2`.

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