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DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY
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FULL MARKS-DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY-ADDITIONAL PROBLEMS
- Suppose f(x)={:{(a+bx,x lt 1) ,(4,x=1), (b-ax,x gt 1):} and if lim(x t...
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- If f(x)={:{(2x+1,x le 0),(3(x+1),x gt 0):} . Find lim(x to 0) f(x) and...
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- Find lim(x to 1) f(x) if f(x)={:{(x^2-1,x le1),(x^2+1, x gt1):}
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- Evaluate lim(x to 0) where f(x)={:{(|x|/x, x ne 0),(0, x=0):}
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- Let a1,a2…….an be fixed real number such that f(x)=(x-a1)(x-a2)……….(x-...
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- Evaluate lim(x to infty) sqrtx(sqrt(x+c)-sqrtx)
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- Evaluate: lim(x to infty) (sqrt(x^2+x+1)-sqrt(x^2+1))
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- Evaluate: lim(n to infty) (1+2+3+….+n)/n^2
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- Evaluate: lim(n to infty) (n!)/((n+1)!-n!)
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- Evaluate: lim(x to infty) (sqrt(x^2+x+1)-x)
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- Evaluate :lim(x to infty) ((x+1)^10+(x+2)^10+....+(x+100)^10)/(x^10+10...
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