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KUMAR PRAKASHAN-OBJECTIVE SECTION AS PER NEW PAPER SCHEME -Limits and Derivatives (Fill in the Blanks)
- A rrarr2 then area of circle with radius r = ….. .
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- lim(xrarr 0)(ax^3+bx^2+cx+d)/((a+1)x+b) = …… .
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- lim(x rarrpi)sinx/(pi-x) = …. .
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- lim(xrarr0)(sinx-2sin(3x)+sin(5x))/x = …. .
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- lim(xrarr-1)(x^7+1)/(x^8-1) = ….. .
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- lim(xrarr0)(sin(x^@))/x = …. .
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- If f(3)=2 thenlim(xrarr2)f(x^2-1) = …........
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- lim(xrarr0)(sin(picos^2x))/x^2 = ….. .
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- lim(xrarr1)(x+x^(2)+x^(3)+...+x^(10)-10)/(x-1)
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- lim(xrarr0)(e^(sinx)-1)/x
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- Find the derivative of f(x)=1+x+x^(2)+x^(3)+…+x^(50)" at "x=1.
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- If y=(sqrt(x)+1/sqrt(x)).(sqrt(x)-1/sqrt(x)) then dy/dx = ….. .
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- If y=(1-cos^2x)/sin^2x then dy/dx = ….. .
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- If y=x/a+a/x then dy/dx = …. .
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- If f(x)=x sin x then f'(pi/2) = ……
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- f(x)=x^(3)+3x^(2)+3x+1 then f'(x) = …… .
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- If y = x -|x| then (dy)/(dx) .............., x lt 0
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- If f(x) = ax^2+bx+12, f'(2) = 11 and f'(4)=15 then possible value of ...
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- lim(x rarr-1) {x+x^(2)+x^(3)+..........+x^(10)} = ......
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- A rrarr2 then area of circle with radius r = ….. .
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