# 29 - Limit Continuity and Differentiability Questions Answers

SCRA 2013 SET D, QUES. 10

( [x]+[2x]+[3x]+.....[nx] ) / n^{2}

**Asked By: GAUTAM SAGAR**5 year ago

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**Asked By: AKHIL CHAND**5 year ago

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**Answer Strategies and trick by Manish sir**(it will help you to solve it by yourself)

all are defined

put π in the first, factorise second and multiply the conjugate of numerator in the third

**Asked By: AKHIL CHAND**5 year ago

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**Answer Strategies and trick by Manish sir**(it will help you to solve it by yourself)

factorise numerator and denominator

show that limit /x/ = 0 as x approaches 0.

**Asked By: FAITH MWONGELI**6 year ago

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show that limit /x/ = 0 as x approaches 0.

**Asked By: FAITH MWONGELI**6 year ago

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if f is a real valued differentiable function satisfying If(x) - f(y)I ≤ (x-y)^{2} x,yεR and f(0) =0 then f(1) equals

(a) 1

(b) 2

(c) 0

(d) -1

**Asked By: HIMANSHU MITTAL**6 year ago

**Solved By: VISHAL PHOGAT**

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let g(x) be the inverse of the function f(x), and f^{/}(x) = 1/1+x^{3} then g^{/}(x) equals

(1) 1/1+g^{3}

(2) 1/1+f^{3}

(3) 1+ g^{3}

(4) 1+f^{3}

**Asked By: HIMANSHU MITTAL**6 year ago

**Solved By: VISHAL PHOGAT**

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let t_{r} = r/1+r^{2}+ r^{4} then lim n-->∞ ∑ t_{r}

**Asked By: HIMANSHU MITTAL**6 year ago

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lim n-->∞ [tanx + 1/2tan(x/2) + 1/2^{2}tan(x/2^{2}) + ............. + 1/2^{n}tan(x/2^{n})]

**Asked By: HIMANSHU MITTAL**6 year ago

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lim n-->∞ cos(x/2)cos(x/4).......cos(x/2^{n})

**Asked By: HIMANSHU MITTAL**6 year ago

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