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Find ("lim")(x->1^+)1/(x-1)dot...

Find `("lim")_(x->1^+)1/(x-1)dot`

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Find : ("lim")_(x->1)[x]

Suppose that f is a function such that 2x^2lt=f(x)lt=x(x^2+1) for all x that are near to 1 but not equal to 1. Show that this fact contains enough information for us to find ("lim")_(x->1)f(x)dot Also, find this limit.

Find : ("lim")_(x->-5//2)\ [x]dot

If f(x) =[m x^2+n , x 1 . For what integers m and n does both (lim)_(x->1)f(x)dot

Evaluate(i) (lim)_(x->1)(x^(15)-1)/(x^(10)-1) (ii) (lim)_(x->0)(sqrt(1+x)-1)/x

Evaluate the following limit: (lim)_(x->1)(1+(x-1)^2)/(1+x^2)

Evaluate the following limit: (lim)_(x->-1)(x^3-3x+1)/(x-1)

If ("lim")_(x->a)[f(x)+g(x)]=2a n d ("lim")_(x->a)[f(x)-g(x)]=1, then find the value of ("lim")_(x->a)f(x)g(x)dot

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RD SHARMA ENGLISH-LIMITS-All Questions
  1. 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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  2. Evaluate ("lim")(x->0)f(x),\ w h e r e\ f(x)={(|x|)/x ,\ x!=0 , ...

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  3. Find ("lim")(x->1^+)1/(x-1)dot

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  4. Evaluate the following one sided limit: ("lim")(x->2^-)\ (x-3)/(x^2-4)

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  5. Evaluate the following one sided limit: lim(x->-8^+)(2x)/(x+8)

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  6. Evaluate the following one sided limit: ("lim")(x->pi//2^+)secx

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  7. Evaluate the following one sided limit: ("lim")(x->-pi//2^+)(2-cotx)

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  8. Evaluate the following one sided limit: ("lim")(x->2^+)(x-3)/(x^2-4)

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  9. Evaluate the following one sided limit: ("lim")(x->0^+)2/(x^(1//5))

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  10. Evaluate the following one sided limit: ("lim")(x->0^-)(x^2-3x+2)/(x^3...

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  11. Evaluate the following one sided limit: ("lim")(x->0^-)\ 1+cos e c\ x

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  12. Evaluate the following one sided limit: ("lim")(x->0^+)1/(3x)

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  13. Evaluate the following one sided limit: ("lim")(x->pi/2^-)tanx

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  14. Evaluate the following one sided limit: ("lim")(x->-2^+)\ (x^2-1)/(2x+...

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  15. Show that ("lim")(x->0)\ e^(-1//x) does not exist.

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  16. Find : ("lim")(x->2)[x]

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  17. Find : ("lim")(x->5/2)\ [x]

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  18. Find : ("lim")(x->1)[x]

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  19. Find : ("lim")(x->3^+)x/([x]) . Is it equal to : ("lim")(x->3^-)x/([x]...

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  20. Find : ("lim")(x->-5//2)\ [x]dot

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