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ARIHANT MATHS-LIMITS-Exercise (Single Option Correct Type Questions)
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- Find dy/dx if x^7-e^x=siny
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- underset(xto(pi)/(2))(lim)([(x)/(2)])/(log(e)(sinx))([.] denotes great...
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- If tn=1/4(n+2)(n+3) for n=1,2,3, , then 1/(t1)+1/(t2)+1/(t3)++1/(t(20...
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- If f(x+ y) = f(x) + f(y) for x, y in R and f(1) = 1, then find the val...
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- Evaluate underset(ntooo)limn^(-n^(2))[(n+2^(0))(n+2^(-1))(n+2^(-2))......
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- If f(x)={("sin"[x])/([x]),for[x]!=0, 0,for[x]=0,where [x] denotes the...
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- Evaluate: lim(xto2)(x^3-6x^2+11 x-6)/(x^2-6x+8)
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- Let r^(th) term t (r) of a series if given by t (c ) = (r )/(1+r^(2) +...
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- The value of lim(ntooo)sum(r=1)^(n)cot^(-1)((r^(3)-r+1/r)/2) is
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- Let xtan alpha + ysin alpha= alpha and xalpha cosec alpha + ycosalpha...
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- The polynomial of least degree such that lim(xto0)(1+(x^(2)+f(x))/(x^(...
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- If n is a non zero integer and [*] denotes the greatest integer functi...
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- The value of lim(xtoa)[sqrt(2-x)], where a in[0,1/2] and [.] denotes t...
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- Evaluate: lim(thetato0)(cos^2(1-cos^2(1-cos^2(1-cos^2(theta)))))/(sin(...
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- The value of lim(ntooo)a(n) when a(n+1)=sqrt(2+a(n)), n=1,2,3,….. is
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