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PREMIERS PUBLISHERS-DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY-SOLUTION TO EXERCISE 9.4
- lim(alphato0)(sin(alpha^(n)))/((sinalpha)^(m))
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- lim(xto0)(sin(a+x)-sin(a-x))/x
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- lim(xto0)(sqrt(x^(2)+a^(2))-a)/(sqrt(x^(2)+b^(2))-b)
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- lim(xto0)(2"arc"sinx)/(3x)
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- lim(xto0)(1-cosx)/x^(2)
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- lim(xto0)(tan2x)/x
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- lim(xto0)(2^(x)-3^(x))/x
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- lim(xto0)(3^(x)-1)/(sqrt(x+1)-1)
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- lim(xto0)(1-cos^(2)x)/(xsin2x)
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- lim(xtooo)x[3^(1/x)+1-cos(1/x)-e^(1/x)]
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- lim(xtooo){x[log(x+a)-log(x)]}
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- lim(xto pi)(sin3x)/(sin2x)
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- lim(xto pi/2)(1+sinx)^(2"cosec"x)
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- lim(xto0)(sqrt2-sqrt(1+cosx))/(sin^(2)x)
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- lim(xto0)(sqrt(1+sinx)-sqrt(1-sinx))/tanx
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- Evaluate the following limits: lim(xrarrinfty)[(x^2 -2x +1)/(x^2 -4x ...
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- lim(xto0)(e^(x)-e^(-x))/sinx
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- lim(xto0)(e^(ax)-e^(bx))/x
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- lim(xto0)(sinx(1-cosx))/x^(3)
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- lim(xto0)(tanx-sinx)/x^(3)
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