Calcule os limites dos exerćıcios 1. a 12. 1. lim x→0 (cos2x−1)/(ex^2−1) 2. lim x→1+ (lnx)x−1 3. lim x→+∞ ((x^2−1)/e^x^2) 4. lim x→+∞ ln(lnx)/lnx ...
Calcule os limites dos exerćıcios 1. a 12.
1. lim x→0 (cos2x−1)/(ex^2−1)
2. lim x→1+ (lnx)x−1
3. lim x→+∞ ((x^2−1)/e^x^2)
4. lim x→+∞ ln(lnx)/lnx
5. lim x→0+ ln(arcsenx)/cotx
6. lim x→0 x/arctanx
7. lim x→+∞ (2/π)arctanx/x
8. lim x→+∞ (cos^2x)/x^2
9. lim x→0+ (tan(πx/2))/x
10. lim x→0 [(1/e^(1+x))^1/x]
11. lim x→0 (1+e^(2x)/2)cothx
12. lim x→0+ (sinhx/x)^1/x
1. lim x→0 (cos2x−1)/(ex^2−1)
2. lim x→1+ (lnx)x−1
3. lim x→+∞ ((x^2−1)/e^x^2)
4. lim x→+∞ ln(lnx)/lnx
5. lim x→0+ ln(arcsenx)/cotx
6. lim x→0 x/arctanx
7. lim x→+∞ (2/π)arctanx/x
8. lim x→+∞ (cos^2x)/x^2
9. lim x→0+ (tan(πx/2))/x
10. lim x→0 [(1/e^(1+x))^1/x]
11. lim x→0 (1+e^(2x)/2)cothx
12. lim x→0+ (sinhx/x)^1/x
💡 1 Resposta
Ed 
1. lim x→0 (cos2x−1)/(ex^2−1) = -1/2 2. lim x→1+ (lnx)x−1 = 0 3. lim x→+∞ ((x^2−1)/e^x^2) = 0 4. lim x→+∞ ln(lnx)/lnx = 0 5. lim x→0+ ln(arcsenx)/cotx = 0 6. lim x→0 x/arctanx = 1 7. lim x→+∞ (2/π)arctanx/x = 0 8. lim x→+∞ (cos^2x)/x^2 = 0 9. lim x→0+ (tan(πx/2))/x = π/2 10. lim x→0 [(1/e^(1+x))^1/x] = 1/e 11. lim x→0 (1+e^(2x)/2)cothx = 1 12. lim x→0+ (sinhx/x)^1/x = e^(1/2)
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