find the limit of: 10x -5x -2x +1/x2 when x tends to 0 - Maths - Continuity and Differentiability

Question

find the limit of: 10x -5x -2x
+1/x2 when x tends to 0

Neha Sethi · Accepted Answer

Dear student

We have,limx→010x-5x-2x+1x2Apply L'Hopital's rule, we getlimx→0ln10×10x-ln2×2x-ln5×5x2xApply L'Hopital's rule, we getlimx→0ln210×10x-ln25×5x-ln22×2x2=ln210×100-ln25×50-ln22×202=ln210-ln25-ln222
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find the limit of: 10x -5x -2x +1/x2 when x tends to 0.

find the limit of: 10^x -5^x -2^x +1/x² when x tends to 0.