Show that how:
limh →0 e tan2h/tan 3h = e 2/3

Dear Student,
Please find below the solution to the asked query:

We have:L=limh0 etan2htan3hL=elimh0 tan2htan3hL=elimh0 2tan2h2h3tan3h3hWe know thatlimx0 tanaxax=1, hence we get:L=e2×13×1=e23limh0 etan2htan3h=e23

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