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

We haveL=limx0 sin-8xtan7x=-limx0 sin8xtan7x As sin-A=-sinA=-limx0 sin8xx.xtan7x=-87limx0 sin8x8x.7xtan7x=-87limx0 sin8x8xlimx07xtan7x=-87×1×1=-87 Optionbiii y=logex.xn.3xy=logex+logxn+log3xy=xloge+nlogx+xlog3y=x+nlogx+xlog3 As loge=1Differentiate dydx=1+nx+log3..Optionb

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