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RD SHARMA ENGLISH-CONTINUITY-All Questions
- Discuss continuity of f(x)={{:(x^(2)/2, if 0le x le 1),(2x^(2)-3x+3/2,...
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- Examine the continuity of the function f(x)=3x-2,xlt=0, f(x)=x+1,x>...
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- Discuss the continuity of the function f(x)=x, \if \x >0, f(x)= 1,\...
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- Discuss the continuity of the function f(x)={x/(|x|),x!=0 0,x=0
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- If f(x)=(tan(pi/4-x))/(cot2x) for x!=pi/4, find the value which can be...
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- Determine the value of a ,b ,c for which the function f(x)={(sin(a+1)x...
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- Show that f(x)=(x-|x|)/(2), when \ x!=0 f(x)=2 \ when \ x=0 \ is \ d...
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- Find the relationship between a and b so that the function 'f' def...
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- If f(x)=(sin3x)/x,w h e nx!=0, f(x)= 1,w h e n x=0 Find whether f(x) i...
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- Prove that the function f(x)={(sinx)/x,x<0x+1,xgeq0 is everywhere ...
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- Let f(x)=(1-cosx)/(x^2),\ \ \ w h e n\ x!=0,\ f(x)=1,\ \ \ w h e n\ x...
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- If f(x)={e^(1/x) ,1 ifx!=0ifx=0 Find whether f is continuous a...
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- Test the continuity of the following function at the origin; f(x)={x...
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- The function f(x)={(x^2/a, if 0le x lt1),(a, if 1 le x lt sqrt2),((2b^...
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- A function f(x) is defined as f(x)={(x^2 -x-6)/(x-3);ifx!=3 and 5ifx=...
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- Find the domain of f(x) = sin^-1 x+ cos x
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- If y=(x-1)log(x-1)-(x+1)log(x+1), prove that : dy/dx = log((x-1)/(1+x)...
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- The value of f(0) , so that the function f(x)=(sqrt(a^2-a x+x^2)-sqrt(...
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- The value of a for which the function f(x) = {[5x-4,if 0ltxle1],[4x^2...
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- Evaluate : tan(cos^-1(-7/25))
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