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Q. lim x 2 x - 1 2 5 x - 4 3 4 x - 1 5

Dear student,

We have,limx2x-125x-434x-15Taking common from each bracket=limxx22-1x2 x35-4x3x54-1x5=limxx2+3 2-1x2 5-4x3x54-1x5      --[using am×an=am+n]=limxx52-1x2 5-4x3x54-1x5Putting the limit x ==2-12 5-434-15=22×5345=4×5345=5345-1            --[using aman=am-n]=5344=125256

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