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RD SHARMA-CONTINUITY-Solved Examples And Exercises
- Show that the function defined by f(x)=cos(x^2)is a continuous functi...
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- Show that the function defined by f(x) = | cos x |is a continuous fun...
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- Find all the points of discontinuity of f defined by f(x)" "=" "|" "...
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- Determine if f defined byf(x)={x^2sin1/x , ifx!=0 0, ifx=0
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- Given the function f(x)1/(x+2) . Find the points of discontinuity of t...
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- Find all point of discontinuity of the function f(t)=1/(t^2+t-2), wher...
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- Define continuity of a function at a point.
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- What happens to a function f(x) at x=a , if (lim)(x->a)f(x)=f(a)
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- Find f(0) , so that f(x)=x/(1-sqrt(1-x)) becomes continuous at x=0 .
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- The function f(x)={((sin3x)/x ,x!=0),(k/2,x=0):} is continuous of x...
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- If the function f(x)=(sin10 x)/x , x!=0 is continuous at x=0 , find f(...
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- If f(x)={(x^2-16)/(x-4)\ \ \ ,\ \ \ if\ x!=4k\ \ \ ,\ \ \ if\ x=4 is c...
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- Determine whether f(x)={(sinx^2)/x\ \ \ ,\ \ \ x!=0 0\ \ \ ,\ \ \ x=0 ...
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- If f(x)={(1-cosx)/(x^2)\ \ \ ,\ \ \ x!=0k\ \ \ ,\ \ \ x=0 is continuou...
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- If f(x)={(sin^(-1)x)/x\ \ \ ,\ \ \ x!=0k\ \ \ ,\ \ \ x=0 is continuous...
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- The function f(x)=(4-x^2)/(4x-x^3) discontinuous at only one point di...
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- If f(x)=|(log)(10)x|,t h e na tx=1 f(x) is continuous and f^(prime)(1...
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- If f(x)={(36^x-9^x-4^x+1)/(sqrt(2)-sqrt(1+cosx)),x!=0k ,x=0 is continu...
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- If f(x) defined by f(x)={(|x^2-x|)/(x^2-|x|),x!=0,1-1. Then (A)f...
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- If f(x)={1/((pi-2x)^2)dot(logsinx)/((log(1+pi^2-4pix+4x^2)),x!=pi/2k ...
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