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FULL MARKS-DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY-EXERCISE 9.4
- Evaluate the limits lim( ato 0) (sin(a^n))/(sina)^m
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- Evaluate the limits lim(x to 0) (sin(a+x)-sin(a-x))/x
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- Evaluate the limits lim(x to 0) (sqrt(x^2+a^2)-a)/(sqrt(x^2+b^2)-b)
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- Evaluate the limits lim(x to 0) (2arcsinx)/(3x)
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- Evaluate the limits lim(x to 0) (1-cosx)/x^2
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- Evaluate the limits lim(x to 0) (tan2x)/x
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- Evaluate the limits lim(x to 0) (2^x-3^x)/x
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- Evaluate the limits lim(x to 0) (3^x-1)/(sqrt(x+1)-1)
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- Evaluate the limits lim(x to 0) (1-cos^2x)/(x sin 2x)
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- Evaluate the limits lim( xto infty) x[3^(1/x)+1-cos(1/x)-e^(1/x)]
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- Evaluate the limits lim(x to infty) {x[log(x+a)-log(x)]}
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- Evaluate the limits lim(x to pi) (sin 3x)/(sin 2x)
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- Evaluate the limits lim(x to 0) (1+sinx)^(2 cosec x)
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- Evaluate the limits lim(xto 0) (sqrt2-sqrt(1+cosx))/(sin^2x)
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- Evaluate the limits lim(x to0)(sqrt(1+sinx)-sqrt(1-sinx))/(tanx)
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- Evaluate the limits lim(x to infty)((x^2-2x+1)/(x^2-4x+2))^x
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- Evaluate the limits lim(x to 0) (e^x-e^(-x))/(sinx)
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- Evaluate the limits lim(x to 0) (e^(ax)-e^(bx))/x
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- Evaluate the limits lim(x to 0) (sinx(1-cosx))/x^3
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- Evaluate the limits lim(x to 0) (tanx-sinx)/x^2
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