Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
- Column I ([.] denotes the greatest integer function), Column II ""(...
Text Solution
|
- Let f(x)={x+1,x >0, 2-x ,xlt=0 and g(x)={x+3,x<1,x^2-2x-2,1lt=x<2, ...
Text Solution
|
- Evaluate: lim(x->oo) (x+7sinx)/(-2x+13)
Text Solution
|
- Find the values of b for which the points (2b+3, b^(2)) lies above of ...
Text Solution
|
- If f(x)={{:((x-|x|)/(x)","xne0),(2", "x=0):},show that underset(xt...
Text Solution
|
- The reciprocal of the value of: lim(n->oo)(1-1/(2^2))(1-1/(3^2))(1-1/(...
Text Solution
|
- Show that ("lim")(xrarr0) (e^(1/x)-1)/(e^(1/x)+1) does not exist
Text Solution
|
- If f(x)={(x^2+2,,,xge2),(1-x ,,,xlt2):} ; g(x)={(2x,,,xgt1),(3-x ,,,...
Text Solution
|
- Evaluate underset(xto2^(+))lim([x-2])/(log(x-2)), where [.] represents...
Text Solution
|
- Find the value of the limit ("lim")(xto0) (((sqrt(a+x))-(sqrt(a-x)))/...
Text Solution
|
- Evaluate underset(xto0)lim(sin[cosx])/(1+[cosx]) ([.] denotes the grea...
Text Solution
|
- lim(x->0)((1^x+2^x+...........+n^x)/n)^(1/x) is equal to
Text Solution
|
- Consider the following graph of the function y=f(x). Which of the foll...
Text Solution
|
- If lim(xto0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n must b...
Text Solution
|
- If underset(xtoa)lim[f(x)+g(x)]=2 and underset(xtoa)lim[f(x)-g(x)]=1, ...
Text Solution
|
- Among (i) underset(xtooo)limsec^(-1)((x)/(sinx))" and "(ii) underset(x...
Text Solution
|
- Evaluate lim(x->0)(3x+|x|)/(7x-5|x|)
Text Solution
|
- The value of lim(x->0)(1+sinx-cosx+"log"(1-x))/(x^3) is (a)1/2 ...
Text Solution
|
- f(x)={x ,xlt=0 1,x=0,t h e nfin d("lim")(xvec0)f(x)x^2,x >0ife xi s t ...
Text Solution
|
- underset(xtooo)lim(e^(1//x^(2))-1)/(2tan^(-1)(x^(2))-pi) is equal to
Text Solution
|