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CHHAYA PUBLICATION-LIMIT-EXERCISE 2 ( Long Answer Type Questions)
- Draw the graph of the function y=x^(2)/(x) and from the graph evaluate...
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- Let f(x){:(=1,",""for "xgt0),(=x^(2),",""for "xle0):} ,discuss whet...
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- Prove : underset(xrarr4)"lim"(3-sqrt(5+x))/(1-sqrt(5-x))=-(1)/(3)
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- Prove : underset(xrarr1)"lim"(x^(2)-sqrt(x))/(sqrt(x)-1)=3
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- Prove : underset(xrarr0)"lim"(1-cosxsqrt(cos2x))/(x^(2))=(3)/(2)
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- Prove : underset(nrarroo)"lim"(sqrt(n+1)-sqrt(n))=0
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- Prove : underset(xrarroo)"lim"sqrt(x)[sqrt(x+2)-sqrt(x)]=1
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- Prove : underset(xrarroo)"lim"[sqrt(1+x+x^(2))-x]=(1)/(2)
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- Prove : underset(nrarroo)"lim"[root(3)(n+1)-root(3)(n)]=0
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- Find the values of the following limts : underset(nrarroo)"lim"(1+2+...
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- Find the values of the following limts : underset(nrarroo)"lim"(1^(2...
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- Find the values of the following limts : underset(nrarroo)"lim"(1+(1...
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- Find the values of the following limts : underset(nrarroo)"lim"((1)/...
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- Find the values of the following limts : underset(nrarroo)"lim"(1+2+...
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- Find the values of the follwing limts : underset(nrarroo)"lim"(1.2+2...
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- prove the underset(nrarroo)"lim"(a.e^(x)+b.e^(-x))/(c.e^(x)+d.e^(-x))=...
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- Show that underset(nrarroo)"lim"(a.e^(x)+b.e^(-x))/(c.e^(x)+d.e^(-x))=...
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- Do the following limits exist ? underset(xrarrpi)"lim"(1)/(pi-x)
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- Do the following limits exist ? underset(xrarr0)"lim""Xcos"(1)/(x)
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- Does underset(xrarr4)"lim"sqrt(4-x) exist ?
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