Text Solution
AI Generated Solution
Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
CENGAGE ENGLISH-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) using sandwich theorem.
Text Solution
|
- If f(x)={(x-|x|)/x ,x!=0, 2,x=0, show that lim(xrarr0) f(x) does not e...
Text Solution
|
- The reciprocal of the value of: ("lim")(nvecoo)(1-1/(2^2))(1-1/(3^2))(...
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 : ("lim")(xrarr2^+) ([x-2])/("log"(x-2)) , where [.] repres...
Text Solution
|
- The value of the limit ("lim")(xvec0)(a^(sqrt(x))-a^(1sqrt(x)))/(a^(sq...
Text Solution
|
- Evaluate: ("lim")(xrarr0) (sin[cosx])/(1+[cosx])([dot] denotes the g...
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)dot Which of the fo...
Text Solution
|
- If lim(x->0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n must b...
Text Solution
|
- If ("lim")(x->a)[f(x)+g(x)]=2a n d ("lim")(x->a)[f(x)-g(x)]=1, then f...
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 1/2 (b) -...
Text Solution
|
- lim(xvecoo)(e^(1/x^2)-1)/(2tan^-1(x^2)-pi) is equal to (a) 1 (b) -...
Text Solution
|
- Evaluate: lim(x->oo) (1+1/(a+bx))^(c+dx) , where a,b,c and dare positi...
Text Solution
|
- If x1=3 and x(n+1)=sqrt(2+xn),ngeq1,t h e n""("lim")(xrarroo)xn is (...
Text Solution
|