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lim(xto0)(tan2x)/x...

`lim_(xto0)(tan2x)/x`

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If x is measured in radian (i) lim_(xto0)(x)/(sinx)=1 (ii) lim_(xto0)(tanx)/(x)=1

Evaluate lim_(xto0) (xtan2x-2xtanx)/((1-cos2x)^(2)).

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Prove that [lim_(xto0) (tan^(-1)x)/(x)]=0, where [.] represents the greatest integer function.

Find the limits of the following: (i)lim_(xto0) (sin3x)/(x)" "(ii)lim_(xto0) (sin7x)/(sin4x)" "(iii)lim_(xto0) (1-cos^(2)x)/(x^(2))

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Evaluate i. lim_(xto0)(tanx-sinx)/(sin^(3)x) ii. lim_(xto0)(cos2x-1)/(cosx-1)

lim_(xto0)x/(tanx) is __________

Evaluate (i) lim_(xto0)(sin3x)/(x) (ii) Find lim_(xto0)(sin3x)/(sin7x) (iii) Evaluate lim_(xto0)((sin3x+7x)/(3x+sin7x))