RD SHARMA-LIMITS-All Questions
- Suppose f(x)={(a+bx, x<1), (4, x=1), (b-ax, x>1):} and if lim(xto1) f(...
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- Find the left hand and right hand limits of greatest integer function ...
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- Prove that lim(x->a^+) [x]=[a] for all a in R, where [*] denotes the ...
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- If f is an even function, then prove that lim(x->0^-) f(x) = lim(x->0^...
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- Show that ("lim")(x->0)x/(|x|) does not exist.
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- Find k so that ("lim")(x->2)\ f(x) may exist, where f(x)={2x+3,\ xlt=2...
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- Show that ("lim")(x->0)1/x does not exist.
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- Let f(x)={x+1,\ if\ x >0, x-1,\ if\ x<0dot Prove that ("lim")(x->1)\ f...
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- Let f(x)=\ {x+5,\ if\ x >0x-4,\ if\ x<0 Prove that ("lim")(x->0)\ f(x)...
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- Find ("lim")(x->3)\ f(x),\ w h e r e\ f(x)={4,\ if\ x >3x+1,\ if\ x<3
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- Find lim(xrarr0)f(x)a n d(lim)(x->1)f(x),""""w h e r e""""f(x)=[2x+...
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- Find (lim)(x->1)f(x),""w h e r e""f(x)=[x^2-1, xlt=1-x^2-1, x >1
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- Evaluate ("lim")(x->0)f(x),\ w h e r e\ f(x)={(|x|)/x ,\ x!=0 0,\ x=0
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- Find ("lim")(x->1^+)1/(x-1)dot
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- Evaluate the following one sided limit: ("lim")(x->2^-)\ (x-3)/(x^2-4)
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- Evaluate the following one sided limit: lim(x->-8^+)(2x)/(x+8)
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- Evaluate the following one sided limit: ("lim")(x->pi//2^+)secx
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- Evaluate the following one sided limit: ("lim")(x->-pi//2^+)(2-cotx)
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- Evaluate the following one sided limit: ("lim")(x->2^-)\ (x-3)/(x^2-4)
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- Evaluate the following one sided limit: ("lim")(x->0^+)2/(x^(1//5))
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