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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-CALCULUS
- Evaluate the following limits: lim(xto(pi)/(2))(xtanx-(pi)/(2)secx)
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- Show that lim(xto1)(sqrt(1-cos(x-1)))/(x-1) does not exist.
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- Evaluate: lim(xto2)(2^(x)+2^(3-x)-6)/(sqrt(2^(-x))-2^(1-x))
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- Evaluate: lim(xto(pi)/(2))((2xsecx)/(pi)-tanx)
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- Evaluate: lim(xto0)(cosx)^(cot^(2)x)
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- Evaluate: lim(xto(1)/(2))(cos^(2)pix)/(e^(2x)-2ex)
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- Evaluate: lim(xto(pi)/(3))(tan^3x-3tanx)/(cos(x+(pi)/(6)))
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- Evaluate: lim(xtoa)(ae^(x)-xe^(a))/(x-a)
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- Evaluate: lim(xto0)(e^(x)-log(e+ex))/(x)
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- Evaluate: lim(xto(pi)/(2))(1+cosx)^(3secx)
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- Evaluate: lim(xto(1)/(2))(sin((pix)/(2))-cos((pix)/(2)))/((1)/(2)-x)
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- Evaluate: lim(xto0)((x-1+cosx)/(x))^(1//x)
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- Evaluate: lim(xto2)(sqrt(1+sqrt(2+x))-sqrt3)/(x-2)
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- Evaluate: lim(xto0)(sinx+cosx)^(1//x)
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- Evaluate: lim(xto0)[tan(x+(pi)/(4))]^(1//x)
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- Evaluate: lim(xto0)(1)/(x^(3))[sin(3x+a)-3sin(2x+a)+3sin(x+a)-sina]
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- Evaluate: lim(xto2)(sqrt(2x+5)-3(sqrt(2x-3)))/(root3(2x-3))
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- Evaluate: lim(xto0)(1+sin2x)^(cosecx)
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- Evaluate: lim(xto1)(x^(x)-1)/(xlogx)
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- Evaluate: lim(xto0)(log(1+x+x^(2))+log(1-x+x^(2)))/(secx-cosx)
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