Evaluate the following:lim(xtoinfty)sin(...

Evaluate the following:`lim_(xtoinfty)`sin(1/x)

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MBD PUBLICATION-LIMIT AND DIFFERENTIATION-QUESTION BANK

lim(xtoinfty)cosx
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lim(xto0)cos(1/x)
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Evaluate the following:lim(xtoinfty)sin(1/x)
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lim(xto1)f(x) if f(x)={(2x-1, xle1), (2x+1, xgt):}
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lim(xto0)f(x)and lim(xto1)f(x) if f(x)={(0cdot xle0, xle1), (1-2x, 0...
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Evaluate the following:lim(xtoinfty) sinx/x
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Evaluate the following:lim(xtoinfty)x(a^(1/x)-1), agt0
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Evaluate the following:lim(xto0)(x^(1/2)+2x+3x^(3/2))/(2x^(1/2)-2x^(5/...
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Evaluate the following:lim(xtoinfty)sqrtx{sqrt(x+1)-sqrtx}
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Evaluate the following:lim(xtoinfty)x^2{sqrt(x^4+a^2)-sqrt(x^4-a^2)}
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Evaluate the following:lim(xto0) cos(sin x)
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Evaluate the following:lim(xto0) (sqrt(1+x)-1)/loge(1-x)
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Evaluate the following:lim(xto2)log2(x^2-4)/(sqrt(3x-2)-sqrt(x+2)
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Evaluate the following:lim(xtoinfty)loge(1+a/x)^x
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Evaluate the following:lim(xto0)loge(1+bx)^(1/x)
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Evaluate the following:lim(xto pi/4) sin((1-tanx)/(1+tanx))/(pi/4-x)
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Evaluate the following:lim(xto pi/2)log (1-sin^3x)/cos^2x
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Evaluate the following:lim(xtoinfty)e^x(a^(1/x)-1)
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Evaluate the following:lim(xto0)(x(e^(sqrt(1+x^2+x^4-1)/x-1)))/(sqrt(1...
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Examine the existence of the following limits:lim(xto0+) logax
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