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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
- Evaluate lim(xto0) ((1+x)^(1//x)-e+(1)/(2)ex)/(x^(2)).
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- If lim(x→0) (x^asin^b x)/(sin(x^c)), where a , b , c in ...
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- Evaluate underset(xto0)lim(5sinx-7sin2x+3sin3x)/(x^(2)sinx).
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- ("lim")(x->oo){(x^3+1)/(x^2+1)-(a x+b)}=2,t h e n (a)a=1,b=1 (...
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- Evaluate underset(xtooo)lim(log(e)x)/(x)
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- The value of lim(x->1)(2-x)^(tan((pix)/2)) is (a)e^(-2/pi) (b) e^...
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- Evaluate the following limits using sandwich theorem: lim(x->oo)([x])...
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- lim(x->0) (sinx^n)/((sinx)^m),(mltn), is equal to (a) 1 (b) 0 (c) n...
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- If (x^(2)+x-2)/(x+3)le(f(x))/(x^(2))le(x^(2)+2x-1)/(x+3) holds for a c...
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- lim(x->oo)(2sqrt(x)+3root3x+4root4x+.......+nrootnx)/(sqrt((2x-3))+roo...
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- Let f:(1,2)vecR satisfies the inequality (cos(2x-4)-33)/2ltf(x)lt(x^2|...
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- lim(y->0)((x+y)sec(x+y)-xsecx)/y is equal to (a) secx(xtanx+1) (b) x...
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- Evaluate underset(ntooo)lim(1)/(1+n^(2))+(2)/(2+n^(2))+...+(n)/(n+n^(2...
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- If L=lim(x->2) ((10-x)^(1/3) -2)/(x-2), then the value of |1/(4L)| ...
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- Suppose that f is a function such that 2x^2lt=f(x)lt=x(x^2+1) for all ...
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- If L=lim(xto0) (e^(-x^(2)//2)-cosx)/(x^(3)sinx), then find the value o...
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- If [dot] denotes the greatest integer function, then find the value of...
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- If lim(x->oo) f(x) exists and is finite and nonzero and if lim(x->oo)...
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- If 3-((x^(2))/(12))lef(x)le3+((x^(3))/(9)) in the neighborhood of x=0,...
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- If f(x)={{:(x-1", "xge1),(2x^(2)-2", "xlt1):},g(x)={{:(x+1", "xg...
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