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RD SHARMA-LIMITS-All Questions
- Suppose f(x)={(a+bx, x<1), (4, x=1), (b-ax, x>1):} and if lim(xto1) f(...
02:24
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- Find the left hand and right hand limits of greatest integer function ...
04:51
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- Prove that lim(x->a^+) [x]=[a] for all a in R, where [*] denotes the ...
03:29
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- If f is an even function, then prove that lim(x->0^-) f(x) = lim(x->0^...
02:19
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- Show that ("lim")(x->0)x/(|x|) does not exist.
01:40
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- Find k so that ("lim")(x->2)\ f(x) may exist, where f(x)={2x+3,\ xlt=2...
01:28
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- Show that ("lim")(x->0)1/x does not exist.
02:13
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- Let f(x)={x+1,\ if\ x >0, x-1,\ if\ x<0dot Prove that ("lim")(x->1)\ f...
01:41
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- Let f(x)=\ {x+5,\ if\ x >0x-4,\ if\ x<0 Prove that ("lim")(x->0)\ f(x)...
01:24
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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
01:20
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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+...
03:45
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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
03:09
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- Evaluate ("lim")(x->0)f(x),\ w h e r e\ f(x)={(|x|)/x ,\ x!=0 0,\ x=0
01:45
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- Find ("lim")(x->1^+)1/(x-1)dot
01:47
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- Evaluate the following one sided limit: ("lim")(x->2^-)\ (x-3)/(x^2-4)
02:56
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- Evaluate the following one sided limit: lim(x->-8^+)(2x)/(x+8)
01:06
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- Evaluate the following one sided limit: ("lim")(x->pi//2^+)secx
02:39
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- Evaluate the following one sided limit: ("lim")(x->-pi//2^+)(2-cotx)
02:10
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- Evaluate the following one sided limit: ("lim")(x->2^-)\ (x-3)/(x^2-4)
02:56
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- Evaluate the following one sided limit: ("lim")(x->0^+)2/(x^(1//5))
01:19
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