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FULL MARKS-DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY-EXERCISE 9.3
- Find the left and right limits of f(x)=(x^2-4)/((x^2+4x+4)(x+3)) at x...
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- Find the limit of f(x)=tanx at x=pi/2.
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- Evaluate lim(x to 3) (x^2-9)/(x^2(x^2-6x+9))
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- Evaluate lim(x to infty) 3/(x-2) -(2x+11)/(x^2+x-6)
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- Evaluate lim(x to infty) (x^3+x)/(x^4-3x^2+1)
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- Evaluate lim(x to infty) (x^4-5x)/(x^2-3x+1)
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- Evaluate lim(x to infty) (1+x-3x^3)/(1+x^2+3x^3)
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- Evaluate lim(x to infty)(x^3/(2x^2-1)-x^2/(2x+1))
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- Show that lim(n to infty)(1+2+3+...+n)/(3n^2+7n+2)=1/6
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- Show that lim(n to infty)(1^2+2^2+...+(3n)^2)/((1+2+...+5n)(2n+3))=9/2...
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- Show that lim(n to infty)1/1.2+1/2.3+1/3.4+...+1/(n(n+1))=1
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- An important problem is fishery is to estimate the number of fish pres...
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- A tank contains 5000 litres of pure water. Brine (very salt water) tha...
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