22) which of the following functions is uniformly continuous on the giuen set? a) flx)= x 3 on 10,1) b) flx)= 1 on S1,5] c) flx)= on L1,0) d) All of the above. e) None of the above.

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Q: 7. If F{f} = [1, 1+ i, –2i, 2i, 1– i] then compute F{f©f}.

A:

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Q: (C0]) }

A: The statement is false. Consider f:[0,1]→ℝ defined as f(x)=tan-1πx2   x∈[0,1)0              x=1

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A:

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A: The objective is to solve the above question.

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Q: A monotone sequence is convergent.

A: 1) If f is continuous on A then fn is also continuous  on A So The statement is true

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A:

Q: 12 Given: F : =â, determine F•â. 2

A: r→=xa^x+ya^y+za^zr=x2+y2+z2a^r=r→r

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.