Let f_n(x)= nx / 1+nx^2.  Find the pointwise limit of (f_n) for all x in (0,infinity). Is the convergence uniform on (0,inifinity)? Is the convergence uniform on (1,infinity)?

Q: How do I prove that the limit does not exist as (x,y)->(0,0) and x cannot equal 0. For (x^2 +4y^2) /…

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A: Given :     limn→∞n+1n+1

Q: n' (a) Ax (b) The limits a, b The function f(x) which this limit is approximating.

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Q: Let F = <5x^2, 2(x+y)^2, 9(x+y+z)^2> Find divF (divergence)

A: First of all, consider the vector F and find F1, F2, and F3.

Q: limx→∞ 2*+1 + 3* - 2 -1 - 3*+2

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Q: = 50° √x+1 dx : 5.² √2-1 dx x2

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Q: Find the pointwise limit lim_(n→∞)(ex/n/n) for x ∈ R.

A: We find the pointwise limit  lim_(n→∞)(ex/n/n) for x ∈ R.

Q: 11. Prove that if f is continuous on (a, b] and lim,a* f(x) exists, then fis uniformly continuous on…

A: The theorem is done .

Q: find the limit f(x)= (5-x)/x2-25 a) find the x values at which discountous b) which…

A: NOTE: Refresh your page if you can't see any equations. . to find the undefined point, take…