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PATHFINDER-LIMITS-QUESTION BANK
- Show that underset(x to 0)"Lt" e^(-1/x) does not exits.
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- underset(x to 0)"Lt" (sqrt(cosx)-root3(cosx))/sinx
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- Find the value of lim(x to pi/4) (4sqrt2-(cosx+sinx)^5)/(1-sin2x)
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- Evaluate : lim(x to 0)(xtan2x-2x tanx)/(1-cos2x)^2
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- Evaluate : lim(x to 0) {tan(pi/4+x)}^(1/x)
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- lim(x to 2)(x-sqrt(3x-2))/(x^2-4)
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- Evaluate : lim(x to 0) (27^x-9^x-3^x+1)/(sqrt2-sqrt(1+cosx))
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- lim(x to oo) (sqrt(x^2+ax+a^2)-sqrt(x^2+a^2))
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- lim(x to 1) (1-x)tan((pix)/2)
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- Evaluate : lim(x to 0) (tan2x-sin2x)/x^3
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- lim(x to 0)((1+x)^(3/4) -(1-x)^(3/4))/x
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- lim(x to 3) (sqrt(x-3)+sqrtx-sqrt3)/sqrt(x^2-9)
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- lim(x to 2) (x^2-4)/(sqrt(3x-2)-sqrt(x+2))
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- lim(x to 0) (sqrt(a^2+x^2)-sqrt(a^2-x^2)/x^2
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- Evaluate : lim(x to 0)((1-x)^n-1)/x
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- If G(x) = -sqrt(25-x^2) then lim(x to 1) (G(x)-G(1))/(x-1) = ?
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- Evaluate : lim(x to 0)(e^x-1)/sqrt(1-cosx) (if exists).
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- Show that : lim(x to 3) 1/(2+e^(1/(x-3)) (2 lt e lt 3) does not exists...
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- Evaluate lim(x to 1) (a^(x-1)-1)/(sinpix) = 1
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- Evaluate : lim(x to 0)((1+5x^2)/(1+3x^2))^(1/x^2)
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