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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
- lim(x->0)[(1-e^x)(sinx)/(|x|)]i s(w h e r e[dot] represents the gre...
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- Evaluate: ("lim")(xvec0)(1-cosm x)/(1-cosn x)
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- lim(x->oo)cot^(-1)(x^(-a)loga x)/(sec^(-1)(a^xlogx a)),(a >1)is equal ...
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- Evaluate: lim(x->0)(tan2x-x)/(3x-sinx)
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- The value of ("lim")(xveca)sqrt(a^2-x^2)cot(pi/2)sqrt((a-x)/(a+x)) is ...
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- Evaluate: ("lim")(xvec0)(cot2x-cos e c2x)/x
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- lim(x->0)(log(1+x+x^2)+"log"(1-x+x^2))/(secx-cosx)= (a)-1 (b) ...
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- Evaluate: (lim(n->oo)ncos(pi/(4n))sin(pi/(4n))
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- The value of lim(n->oo)[(2n)/(2n^2-1)cos(n+1)/(2n-1)-n/(1-2n)dot(n(-1)...
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- Evaluate: ("lim")(hvec0)(2[sqrt(3)sin(pi/6+h)-cos(pi/6+h)])/(sqrt(3)h(...
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- Evaluate: ("lim")(xrarr0)8/(x^8){1-cos((x^2)/2)-cos((x^2)/4)+cos((x^2...
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- Evaluate: ("lim")(xvec0)(cos^(-1)((1-x^2)/(1+x^2)))/(sin^(-1)x)
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- Evaluate:lim(n->oo)n{sqrt((1-cos(1/n))sqrt((1-cos(1/n))sqrt((1-cos(1/n...
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- Evaluate: ("lim")(x→0,y→0)(y^2+sinx)/(x^2+siny^2) where (x , y)→(0,0)...
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- Evaluate ("lim")(n→oo){cos(x/2)cos(x/4)cos(x/8)... cos(x/(2^n))}
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- Find the value of alpha so that lim(x->0)1/(x^2)(e^(alphax)-e^x-x)=3/...
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- If x1 and x2 are the real and distinct roots of a x^2+b x+c=0, then ...
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- If lim(x->0)(1+a x+b x^2)^(2/x)=e^3, then find the value of a and b.
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- Evaluate: ("lim")(n→oo)x[tan^(-1)((x+1)/(x+2))-tan^(-1)(x/(x+2))]
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- If ("lim")(xvecoo){(x^2+1)/(x+1)-(a x+b)}=0, then find the value of aa...
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