InterviewSolution
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InterviewSolution
| 1. |
`lim_(x to y) (tan x-tany)/(x-y)` का मान ज्ञात कीजिए। |
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Answer» `underset(x to y)lim(tan x-tan y)/(x-y)=underset(hto0)lim (tan (y+h)-tan y)/(y+h-y)` `underset(hto0)lim 1/h[sin (y+h)/(cos (y+h))-(sin y)/(cos y)]=underset(hto0)lim(sin (y+h)cos y-cos (y+h)sin y)/(hcos (y+h)cos y)` `=underset(hto0)lim(sin (y+h-y))/(h cos(y+h-y))` `=underset(hto0)lim(sin h)/(h)*(1)/(cos (y+h)cos y)=1*(1)/(cos ^(2)y)=sec^(2)y` |
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