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Continuity and Differentiatbility

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Continuity & Differentiability

Continuity & Differentiability

If f(x)={(1-cosx)/(xsinx),x!=0 and 1/2,x=0 then at x=0,f(x) is (a)continuous and differentiable (b)differentiable but not continuous (c)continuous but not differentiable (d)neither continuous nor differentiable

If f(x)={(1-cosx)/(xsinx),x!=0 and 1/2,x=0 then at x=0,f(x) is (a)continuous and differentiable (b)differentiable but not continuous (c)continuous but not differentiable (d)neither continuous nor differentiable

Continued and IthC

Let f(x)=(x+|x|)|x|. Then,for all x is continuous (b) f is differentiable for some x (c) f' is continuous (d) f is continuous

Continuity Of Current

Continuity in interval , Continuity at point function , Limit based continuity questions, Important points