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FULL MARKS-DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY-EXERCISE 9.4
- Evaluate the limits lim(x to infty) (1+1/x)^(7x)
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- Evaluate the limits lim(x to 0) (1+x)^(1//3x)
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- Evaluate the limits lim(x to infty) (1+k/x)^(mx)
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- Evaluate the limits lim(x to infty) ((4x^2+5)/(4x^2+8))^(8x^2+5)
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- Evaluate the limits lim(x to infty) (1+3/x)^(x+2)
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- Evaluate the limits lim(x to0) (sin^3(x/2))/x^3
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- Evaluate the limits lim(x to 0) (sin ax)/(sin beta x)
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- Evaluate the limits lim(x to 0) (tan 2x)/( sin 5x)
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- 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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