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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
- Evaluate: ("lim")(xvec0) ((1+x)^(1/x)-e+1/2e x)/(x^2)
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- ("lim")(xvec0)(x^asin^b x)/(sin(x^c)), where a , b , c in R ~{0},exis...
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- ("lim")(xvec0)(5sinx-7sin2x+3sin3x)/(x^2sinx)
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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 the following limits using sandwich theorem: ("lim")(xvecoo)(...
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- The value of lim(x rarr 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//m ...
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- If (x^2+x−2)/(x+3) <= (f(x))/x^2 <= (x^2+2x−1)/(x+3) hold for a certai...
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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")(xvec0)((x+y)sec(x+y)-xsecx)/yi se q u a lto secx(xtanx+1) (b...
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- Evaluate : ("lim")(xrarroo) 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(x->0)(e^(-(x^2/2))-cosx)/(x^3 sinx), then the value of 1/(3L)...
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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))lt=f(x)lt=3+((x^3)/9) for all x!=0, then find the val...
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- If f(x)={x-1,xgeq 1 2x^2-2,x<1,g(x)={x+1,x >0-x^2+1,xlt=0,a n dh(x) ...
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